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100636328 = 23131756921
BaseRepresentation
bin1011111111110…
…01011010101000
321000100212002102
411333321122220
5201230330303
613552552532
72331252242
oct577713250
9230325072
10100636328
1151896621
1229852748
1317b07330
14d519092
158c7d288
hex5ff96a8

100636328 has 32 divisors (see below), whose sum is σ = 215165160. Its totient is φ = 43714560.

The previous prime is 100636313. The next prime is 100636357. The reversal of 100636328 is 823636001.

It can be written as a sum of positive squares in 4 ways, for example, as 96864964 + 3771364 = 9842^2 + 1942^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100636328.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26693 + ... + 30228.

Almost surely, 2100636328 is an apocalyptic number.

It is an amenable number.

100636328 is an abundant number, since it is smaller than the sum of its proper divisors (114528832).

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

100636328 is a wasteful number, since it uses less digits than its factorization.

100636328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56957 (or 56953 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 100636328 is about 10031.7659462330. The cubic root of 100636328 is about 465.1413267576.

The spelling of 100636328 in words is "one hundred million, six hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 56921 113842 227684 455368 739973 967657 1479946 1935314 2959892 3870628 5919784 7741256 12579541 25159082 50318164 100636328