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104129640 = 23325289249
BaseRepresentation
bin1100011010011…
…10010001101000
321020221100000100
412031032101220
5203124122030
614155505400
72403041646
oct615162150
9236840010
10104129640
115386215a
122aa58260
131875b394
14db88196
15921d360
hex634e468

104129640 has 48 divisors (see below), whose sum is σ = 338422500. Its totient is φ = 27767808.

The previous prime is 104129639. The next prime is 104129659. The reversal of 104129640 is 46921401.

104129640 is a `hidden beast` number, since 1 + 0 + 4 + 12 + 9 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100280196 + 3849444 = 10014^2 + 1962^2 .

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, 144265 + ... + 144984.

Almost surely, 2104129640 is an apocalyptic number.

104129640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104129640 is an abundant number, since it is smaller than the sum of its proper divisors (234292860).

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

104129640 is a wasteful number, since it uses less digits than its factorization.

104129640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289266 (or 289259 counting only the distinct ones).

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

The square root of 104129640 is about 10204.3931715708. The cubic root of 104129640 is about 470.4622583499.

The spelling of 104129640 in words is "one hundred four million, one hundred twenty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 289249 578498 867747 1156996 1446245 1735494 2313992 2603241 2892490 3470988 4338735 5206482 5784980 6941976 8677470 10412964 11569960 13016205 17354940 20825928 26032410 34709880 52064820 104129640