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102095872 = 210179557
BaseRepresentation
bin1100001010111…
…01110000000000
321010010000012121
412011131300000
5202114031442
614044134024
72346541414
oct605356000
9233100177
10102095872
11526a315a
122a237314
13181c8778
14d7b8d44
158e6a967
hex615dc00

102095872 has 44 divisors (see below), whose sum is σ = 205600680. Its totient is φ = 50671616.

The previous prime is 102095849. The next prime is 102095879. The reversal of 102095872 is 278590201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102095879) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 183018 + ... + 183574.

Almost surely, 2102095872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102095872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102800340).

102095872 is an abundant number, since it is smaller than the sum of its proper divisors (103504808).

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

102095872 is an equidigital number, since it uses as much as digits as its factorization.

102095872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 102095872 is about 10104.2501948438. The cubic root of 102095872 is about 467.3792144135.

The spelling of 102095872 in words is "one hundred two million, ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 179 256 358 512 557 716 1024 1114 1432 2228 2864 4456 5728 8912 11456 17824 22912 35648 45824 71296 91648 99703 142592 183296 199406 285184 398812 570368 797624 1595248 3190496 6380992 12761984 25523968 51047936 102095872