Search a number
-
+
100926528 = 2633714207
BaseRepresentation
bin1100000010000…
…00010001000000
321000220121011120
412001000101000
5201314122103
614003112240
72333601303
oct601002100
9230817146
10100926528
1151a7465a
1229972680
1317ba9451
14d592b3a
158cd9253
hex6040440

100926528 has 56 divisors (see below), whose sum is σ = 274271232. Its totient is φ = 32730624.

The previous prime is 100926493. The next prime is 100926533. The reversal of 100926528 is 825629001.

100926528 is a nontrivial binomial coefficient, being equal to C(14208, 2).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 14207.

Almost surely, 2100926528 is an apocalyptic number.

100926528 is the 14207-th triangular number and also the 7104-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100926528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135616).

100926528 is an abundant number, since it is smaller than the sum of its proper divisors (173344704).

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

100926528 is a wasteful number, since it uses less digits than its factorization.

100926528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14259 (or 14249 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 100926528 is about 10046.2195874866. The cubic root of 100926528 is about 465.5879993600.

The spelling of 100926528 in words is "one hundred million, nine hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 7104 14207 28414 42621 56828 85242 113656 170484 227312 340968 454624 525659 681936 909248 1051318 1363872 1576977 2102636 2727744 3153954 4205272 6307908 8410544 12615816 16821088 25231632 33642176 50463264 100926528