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103153928 = 23293761197
BaseRepresentation
bin1100010011000…
…00000100001000
321012002202120212
412021200010020
5202401411203
614122540252
72361536213
oct611400410
9235082525
10103153928
1153256089
122a667688
13184a9237
14d9b277a
1590c91d8
hex6260108

103153928 has 64 divisors (see below), whose sum is σ = 209919600. Its totient is φ = 47416320.

The previous prime is 103153927. The next prime is 103153933. The reversal of 103153928 is 829351301.

It can be written as a sum of positive squares in 8 ways, for example, as 77123524 + 26030404 = 8782^2 + 5102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103153894 and 103153903.

It is not an unprimeable number, because it can be changed into a prime (103153927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523526 + ... + 523722.

Almost surely, 2103153928 is an apocalyptic number.

It is an amenable number.

103153928 is an abundant number, since it is smaller than the sum of its proper divisors (106765672).

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

103153928 is a wasteful number, since it uses less digits than its factorization.

103153928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 103153928 is about 10156.4722221842. The cubic root of 103153928 is about 468.9882082193.

The spelling of 103153928 in words is "one hundred three million, one hundred fifty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 29 37 58 61 74 116 122 148 197 232 244 296 394 488 788 1073 1576 1769 2146 2257 3538 4292 4514 5713 7076 7289 8584 9028 11426 12017 14152 14578 18056 22852 24034 29156 45704 48068 58312 65453 96136 130906 211381 261812 348493 422762 444629 523624 696986 845524 889258 1393972 1691048 1778516 2787944 3557032 12894241 25788482 51576964 103153928