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155002896 = 243697137
BaseRepresentation
bin10010011110100…
…10100000010000
3101210122222000000
421033102200100
5304140043041
623214130000
73561334326
oct1117224020
9353588000
10155002896
117a549a74
1243ab0900
13261610b9
141682bd16
15d91bbb6
hex93d2810

155002896 has 140 divisors (see below), whose sum is σ = 458233692. Its totient is φ = 50761728.

The previous prime is 155002849. The next prime is 155002909. The reversal of 155002896 is 698200551.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 74649600 = 8964^2 + 8640^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 155002896.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1131340 + ... + 1131476.

Almost surely, 2155002896 is an apocalyptic number.

155002896 is a gapful number since it is divisible by the number (16) 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 155002896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229116846).

155002896 is an abundant number, since it is smaller than the sum of its proper divisors (303230796).

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

155002896 is an equidigital number, since it uses as much as digits as its factorization.

155002896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 155002896 is about 12450.0159036043. The cubic root of 155002896 is about 537.1718809362.

The spelling of 155002896 in words is "one hundred fifty-five million, two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 97 108 137 144 162 194 216 243 274 291 324 388 411 432 486 548 582 648 729 776 822 873 972 1096 1164 1233 1296 1458 1552 1644 1746 1944 2192 2328 2466 2619 2916 3288 3492 3699 3888 4656 4932 5238 5832 6576 6984 7398 7857 9864 10476 11097 11664 13289 13968 14796 15714 19728 20952 22194 23571 26578 29592 31428 33291 39867 41904 44388 47142 53156 59184 62856 66582 70713 79734 88776 94284 99873 106312 119601 125712 133164 141426 159468 177552 188568 199746 212624 239202 266328 282852 318936 358803 377136 399492 478404 532656 565704 637872 717606 798984 956808 1076409 1131408 1435212 1597968 1913616 2152818 2870424 3229227 4305636 5740848 6458454 8611272 9687681 12916908 17222544 19375362 25833816 38750724 51667632 77501448 155002896