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102406024 = 23711316183
BaseRepresentation
bin1100001101010…
…01011110001000
321010200202122201
412012221132020
5202203443044
614054525544
72352302560
oct606513610
9233622581
10102406024
1152895186
122a3668b4
13182a69a6
14d859da0
158ecc7d4
hex61a9788

102406024 has 32 divisors (see below), whose sum is σ = 221397120. Its totient is φ = 43497216.

The previous prime is 102406009. The next prime is 102406027. The reversal of 102406024 is 420604201.

It is a junction number, because it is equal to n+sod(n) for n = 102405992 and 102406010.

It is not an unprimeable number, because it can be changed into a prime (102406027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1764 + ... + 14419.

It is an arithmetic number, because the mean of its divisors is an integer number (6918660).

Almost surely, 2102406024 is an apocalyptic number.

102406024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

102406024 is an abundant number, since it is smaller than the sum of its proper divisors (118991096).

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

102406024 is a wasteful number, since it uses less digits than its factorization.

102406024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16309 (or 16305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 102406024 is about 10119.5861575462. The cubic root of 102406024 is about 467.8520120398.

The spelling of 102406024 in words is "one hundred two million, four hundred six thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 113 226 452 791 904 1582 3164 6328 16183 32366 64732 113281 129464 226562 453124 906248 1828679 3657358 7314716 12800753 14629432 25601506 51203012 102406024