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102816036 = 22322856001
BaseRepresentation
bin1100010000011…
…01100100100100
321011110121002100
412020031210210
5202310103121
614111412100
72355631131
oct610154444
9234417070
10102816036
1153045234
122a524030
13183bb4bb
14d925588
15905e026
hex620d924

102816036 has 18 divisors (see below), whose sum is σ = 259896182. Its totient is φ = 34272000.

The previous prime is 102816031. The next prime is 102816037. The reversal of 102816036 is 630618201.

It can be written as a sum of positive squares in only one way, i.e., 72080100 + 30735936 = 8490^2 + 5544^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1028160362 = 21142274517506592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102816031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1427965 + ... + 1428036.

Almost surely, 2102816036 is an apocalyptic number.

It is an amenable number.

102816036 is an abundant number, since it is smaller than the sum of its proper divisors (157080146).

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

102816036 is a wasteful number, since it uses less digits than its factorization.

102816036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856011 (or 2856006 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102816036 is about 10139.8242588321. The cubic root of 102816036 is about 468.4755739841.

It can be divided in two parts, 1028160 and 36, that added together give a square (1028196 = 10142).

The spelling of 102816036 in words is "one hundred two million, eight hundred sixteen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 2856001 5712002 8568003 11424004 17136006 25704009 34272012 51408018 102816036