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102124008 = 23327202627
BaseRepresentation
bin1100001011001…
…00100111101000
321010011102210200
412011210213220
5202120432013
614044512200
72350016430
oct605444750
9233142720
10102124008
1152712308
122a24b660
131820850c
14d7c52c0
158e73e73
hex61649e8

102124008 has 48 divisors (see below), whose sum is σ = 316099680. Its totient is φ = 29178144.

The previous prime is 102123977. The next prime is 102124037. The reversal of 102124008 is 800421201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 100810 + ... + 101817.

It is an arithmetic number, because the mean of its divisors is an integer number (6585410).

Almost surely, 2102124008 is an apocalyptic number.

102124008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

102124008 is an abundant number, since it is smaller than the sum of its proper divisors (213975672).

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

102124008 is a wasteful number, since it uses less digits than its factorization.

102124008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202646 (or 202639 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102124008 is about 10105.6423843316. The cubic root of 102124008 is about 467.4221445650.

Adding to 102124008 its reverse (800421201), we get a palindrome (902545209).

The spelling of 102124008 in words is "one hundred two million, one hundred twenty-four thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 202627 405254 607881 810508 1215762 1418389 1621016 1823643 2431524 2836778 3647286 4255167 4863048 5673556 7294572 8510334 11347112 12765501 14589144 17020668 25531002 34041336 51062004 102124008