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100136928 = 2535319681
BaseRepresentation
bin1011111011111…
…11011111100000
320222102111001010
411331333133200
5201113340203
613534140520
72324102253
oct575773740
9228374033
10100136928
11515853a1
1229651740
1317990c28
14d42909a
158bd0303
hex5f7f7e0

100136928 has 48 divisors (see below), whose sum is σ = 267832656. Its totient is φ = 32747520.

The previous prime is 100136923. The next prime is 100136951. The reversal of 100136928 is 829631001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 100136895 and 100136904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100136921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4753 + ... + 14928.

It is an arithmetic number, because the mean of its divisors is an integer number (5579847).

Almost surely, 2100136928 is an apocalyptic number.

It is an amenable number.

100136928 is an abundant number, since it is smaller than the sum of its proper divisors (167695728).

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

100136928 is a wasteful number, since it uses less digits than its factorization.

100136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19747 (or 19739 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 100136928 is about 10006.8440579435. The cubic root of 100136928 is about 464.3706412307.

Adding to 100136928 its reverse (829631001), we get a palindrome (929767929).

The spelling of 100136928 in words is "one hundred million, one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 19681 39362 59043 78724 118086 157448 236172 314896 472344 629792 944688 1043093 1889376 2086186 3129279 4172372 6258558 8344744 12517116 16689488 25034232 33378976 50068464 100136928