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102315672 = 23327971783
BaseRepresentation
bin1100001100100…
…11011010011000
321010112011201100
412012103122120
5202143100142
614052551400
72351445264
oct606233230
9233464640
10102315672
1152833308
122a322560
1318274824
14d8350a4
158eb0b4c
hex6193698

102315672 has 48 divisors (see below), whose sum is σ = 277608240. Its totient is φ = 34043328.

The previous prime is 102315667. The next prime is 102315691. The reversal of 102315672 is 276513201.

It is a happy number.

It is a super-3 number, since 3×1023156723 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56493 + ... + 58275.

It is an arithmetic number, because the mean of its divisors is an integer number (5783505).

Almost surely, 2102315672 is an apocalyptic number.

102315672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102315672 is an abundant number, since it is smaller than the sum of its proper divisors (175292568).

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

102315672 is a wasteful number, since it uses less digits than its factorization.

102315672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 102315672 is about 10115.1209582486. The cubic root of 102315672 is about 467.7143775488.

Adding to 102315672 its reverse (276513201), we get a palindrome (378828873).

The spelling of 102315672 in words is "one hundred two million, three hundred fifteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 797 1594 1783 2391 3188 3566 4782 5349 6376 7132 7173 9564 10698 14264 14346 16047 19128 21396 28692 32094 42792 57384 64188 128376 1421051 2842102 4263153 5684204 8526306 11368408 12789459 17052612 25578918 34105224 51157836 102315672