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155825920 = 285236779
BaseRepresentation
bin10010100100110…
…11011100000000
3101212012202222101
421102123130000
5304342412140
623243520144
73601332655
oct1122333400
9355182871
10155825920
117aa61358
1244229054
132638b8b3
14169a3c2c
15da3099a
hex949b700

155825920 has 144 divisors (see below), whose sum is σ = 400296960. Its totient is φ = 57987072.

The previous prime is 155825909. The next prime is 155825947. The reversal of 155825920 is 29528551.

It is a self number, because there is not a number n which added to its sum of digits gives 155825920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972441 + ... + 1972519.

It is an arithmetic number, because the mean of its divisors is an integer number (2779840).

Almost surely, 2155825920 is an apocalyptic number.

155825920 is a gapful number since it is divisible by the number (10) 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 155825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200148480).

155825920 is an abundant number, since it is smaller than the sum of its proper divisors (244471040).

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

155825920 is an equidigital number, since it uses as much as digits as its factorization.

155825920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 37.

The square root of 155825920 is about 12483.0252743476. The cubic root of 155825920 is about 538.1209495761.

The spelling of 155825920 in words is "one hundred fifty-five million, eight hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 67 79 80 92 115 128 134 158 160 184 230 256 268 316 320 335 368 395 460 536 632 640 670 736 790 920 1072 1264 1280 1340 1472 1541 1580 1817 1840 2144 2528 2680 2944 3082 3160 3634 3680 4288 5056 5293 5360 5888 6164 6320 7268 7360 7705 8576 9085 10112 10586 10720 12328 12640 14536 14720 15410 17152 18170 20224 21172 21440 24656 25280 26465 29072 29440 30820 36340 42344 42880 49312 50560 52930 58144 61640 72680 84688 85760 98624 101120 105860 116288 121739 123280 145360 169376 197248 211720 232576 243478 246560 290720 338752 394496 423440 465152 486956 493120 581440 608695 677504 846880 973912 986240 1162880 1217390 1355008 1693760 1947824 1972480 2325760 2434780 3387520 3895648 4869560 6775040 7791296 9739120 15582592 19478240 31165184 38956480 77912960 155825920