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102409740 = 223253118353
BaseRepresentation
bin1100001101010…
…10011000001100
321010200221202100
412012222120030
5202204102430
614054555100
72352316446
oct606523014
9233627670
10102409740
1152897a54
122a368a90
13182a85a4
14d85b496
158ecd960
hex61aa60c

102409740 has 72 divisors (see below), whose sum is σ = 320681088. Its totient is φ = 26426880.

The previous prime is 102409733. The next prime is 102409793. The reversal of 102409740 is 47904201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3597 + ... + 14756.

It is an arithmetic number, because the mean of its divisors is an integer number (4453904).

Almost surely, 2102409740 is an apocalyptic number.

102409740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102409740 is an abundant number, since it is smaller than the sum of its proper divisors (218271348).

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

102409740 is a wasteful number, since it uses less digits than its factorization.

102409740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18399 (or 18394 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102409740 is about 10119.7697602268. The cubic root of 102409740 is about 467.8576709421.

The spelling of 102409740 in words is "one hundred two million, four hundred nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 18353 36706 55059 73412 91765 110118 165177 183530 220236 275295 330354 367060 550590 568943 660708 825885 1101180 1137886 1651770 1706829 2275772 2844715 3303540 3413658 5120487 5689430 6827316 8534145 10240974 11378860 17068290 20481948 25602435 34136580 51204870 102409740