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155697152 = 214131743
BaseRepresentation
bin10010100011111…
…00000000000000
3101211222020100012
421101330000000
5304324302102
623241044052
73600255362
oct1121740000
9354866305
10155697152
117a983636
1244186628
13263450c0
141696cd32
15da07752
hex947c000

155697152 has 120 divisors (see below), whose sum is σ = 363320496. Its totient is φ = 66060288.

The previous prime is 155697121. The next prime is 155697161. The reversal of 155697152 is 251796551.

155697152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1556971522 = 48483206281822208, which contains 22 as substring.

Its product of digits (94500) is a multiple of the sum of its prime divisors (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3620843 + ... + 3620885.

Almost surely, 2155697152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181660248).

155697152 is an abundant number, since it is smaller than the sum of its proper divisors (207623344).

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

155697152 is an equidigital number, since it uses as much as digits as its factorization.

155697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 75 counting only the distinct ones).

The product of its digits is 94500, while the sum is 41.

The square root of 155697152 is about 12477.8664842993. The cubic root of 155697152 is about 537.9726818723.

The spelling of 155697152 in words is "one hundred fifty-five million, six hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 43 52 64 68 86 104 128 136 172 208 221 256 272 344 416 442 512 544 559 688 731 832 884 1024 1088 1118 1376 1462 1664 1768 2048 2176 2236 2752 2924 3328 3536 4096 4352 4472 5504 5848 6656 7072 8192 8704 8944 9503 11008 11696 13312 14144 16384 17408 17888 19006 22016 23392 26624 28288 34816 35776 38012 44032 46784 53248 56576 69632 71552 76024 88064 93568 106496 113152 139264 143104 152048 176128 187136 212992 226304 278528 286208 304096 352256 374272 452608 572416 608192 704512 748544 905216 1144832 1216384 1497088 1810432 2289664 2432768 2994176 3620864 4579328 4865536 5988352 9158656 9731072 11976704 19462144 38924288 77848576 155697152