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20242040 = 2357136783
BaseRepresentation
bin100110100110…
…1111001111000
31102002101212012
41031031321320
520140221130
62001505052
7334024460
oct115157170
942071765
1020242040
1110476165
126942188
134269650
14298cba0
151b9c995
hex134de78

20242040 has 128 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 6234624.

The previous prime is 20242031. The next prime is 20242051. The reversal of 20242040 is 4024202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243839 + ... + 243921.

It is an arithmetic number, because the mean of its divisors is an integer number (449820).

Almost surely, 220242040 is an apocalyptic number.

20242040 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 20242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

20242040 is an abundant number, since it is smaller than the sum of its proper divisors (37334920).

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

20242040 is a wasteful number, since it uses less digits than its factorization.

20242040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 20242040 is about 4499.1154686227. The cubic root of 20242040 is about 272.5323699728.

Adding to 20242040 its reverse (4024202), we get a palindrome (24266242).

The spelling of 20242040 in words is "twenty million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 67 70 83 91 104 130 134 140 166 182 260 268 280 332 335 364 415 455 469 520 536 581 664 670 728 830 871 910 938 1079 1162 1340 1660 1742 1820 1876 2158 2324 2345 2680 2905 3320 3484 3640 3752 4316 4355 4648 4690 5395 5561 5810 6097 6968 7553 8632 8710 9380 10790 11122 11620 12194 15106 17420 18760 21580 22244 23240 24388 27805 30212 30485 34840 37765 38927 43160 44488 48776 55610 60424 60970 72293 75530 77854 111220 121940 144586 151060 155708 194635 222440 243880 289172 302120 311416 361465 389270 506051 578344 722930 778540 1012102 1445860 1557080 2024204 2530255 2891720 4048408 5060510 10121020 20242040