Search a number
-
+
244915920 = 24335711597
BaseRepresentation
bin11101001100100…
…01111011010000
3122001212000111000
432212101323100
51000144302140
640145222000
76032515404
oct1646217320
9561760430
10244915920
11116280a57
126a031900
133b982582
1424755104
151677ca30
hexe991ed0

244915920 has 160 divisors (see below), whose sum is σ = 856016640. Its totient is φ = 64350720.

The previous prime is 244915907. The next prime is 244915943. The reversal of 244915920 is 29519442.

244915920 is a `hidden beast` number, since 24 + 49 + 1 + 592 + 0 = 666.

244915920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 152562 + ... + 154158.

It is an arithmetic number, because the mean of its divisors is an integer number (5350104).

Almost surely, 2244915920 is an apocalyptic number.

244915920 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 244915920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428008320).

244915920 is an abundant number, since it is smaller than the sum of its proper divisors (611100720).

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

244915920 is a wasteful number, since it uses less digits than its factorization.

244915920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 244915920 is about 15649.7897749459. The cubic root of 244915920 is about 625.6608859879.

The spelling of 244915920 in words is "two hundred forty-four million, nine hundred fifteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 90 108 120 135 142 144 180 213 216 240 270 284 355 360 426 432 540 568 639 710 720 852 1065 1080 1136 1278 1420 1597 1704 1917 2130 2160 2556 2840 3194 3195 3408 3834 4260 4791 5112 5680 6388 6390 7668 7985 8520 9582 9585 10224 12776 12780 14373 15336 15970 17040 19164 19170 23955 25552 25560 28746 30672 31940 38328 38340 43119 47910 51120 57492 63880 71865 76656 76680 86238 95820 113387 114984 127760 143730 153360 172476 191640 215595 226774 229968 287460 340161 344952 383280 431190 453548 566935 574920 680322 689904 862380 907096 1020483 1133870 1149840 1360644 1700805 1724760 1814192 2040966 2267740 2721288 3061449 3401610 3449520 4081932 4535480 5102415 5442576 6122898 6803220 8163864 9070960 10204830 12245796 13606440 15307245 16327728 20409660 24491592 27212880 30614490 40819320 48983184 61228980 81638640 122457960 244915920