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244020420 = 2232571910193
BaseRepresentation
bin11101000101101…
…11010011000100
3122000011112002100
432202313103010
5444432123140
640114112100
76022065540
oct1642672304
9560145070
10244020420
1111581a176
126987b630
133b72aaa7
14245a0a20
1516652530
hexe8b74c4

244020420 has 144 divisors (see below), whose sum is σ = 890547840. Its totient is φ = 52835328.

The previous prime is 244020419. The next prime is 244020421. The reversal of 244020420 is 24020442.

244020420 is a `hidden beast` number, since 2 + 440 + 204 + 20 = 666.

244020420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (244020419) and next prime (244020421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 244020393 and 244020402.

It is not an unprimeable number, because it can be changed into a prime (244020421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18844 + ... + 29036.

It is an arithmetic number, because the mean of its divisors is an integer number (6184360).

Almost surely, 2244020420 is an apocalyptic number.

244020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244020420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445273920).

244020420 is an abundant number, since it is smaller than the sum of its proper divisors (646527420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

244020420 is a wasteful number, since it uses less digits than its factorization.

244020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10234 (or 10229 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 244020420 is about 15621.1529664106. The cubic root of 244020420 is about 624.8974082275.

Adding to 244020420 its reverse (24020442), we get a palindrome (268040862).

The spelling of 244020420 in words is "two hundred forty-four million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 5985 7980 10193 11970 20386 23940 30579 40772 50965 61158 71351 91737 101930 122316 142702 152895 183474 193667 203860 214053 285404 305790 356755 366948 387334 428106 458685 581001 611580 642159 713510 774668 856212 917370 968335 1070265 1162002 1284318 1355669 1427020 1743003 1834740 1936670 2140530 2324004 2568636 2711338 2905005 3210795 3486006 3873340 4067007 4281060 5422676 5810010 6421590 6778345 6972012 8134014 8715015 11620020 12201021 12843180 13556690 16268028 17430030 20335035 24402042 27113380 34860060 40670070 48804084 61005105 81340140 122010210 244020420