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129074040 = 23335119513
BaseRepresentation
bin1111011000110…
…00001101111000
322222212122022000
413230120031320
5231020332130
620450301000
73125053104
oct754301570
9288778260
10129074040
116694a267
1237287760
1320983194
14131dc904
15b4e9260
hex7b18378

129074040 has 64 divisors (see below), whose sum is σ = 430250400. Its totient is φ = 34419456.

The previous prime is 129074021. The next prime is 129074051. The reversal of 129074040 is 40470921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 129073995 and 129074013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58677 + ... + 60836.

Almost surely, 2129074040 is an apocalyptic number.

129074040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

129074040 is an abundant number, since it is smaller than the sum of its proper divisors (301176360).

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

129074040 is a wasteful number, since it uses less digits than its factorization.

129074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119533 (or 119523 counting only the distinct ones).

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

The square root of 129074040 is about 11361.0756532997. The cubic root of 129074040 is about 505.3740848144.

The spelling of 129074040 in words is "one hundred twenty-nine million, seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 119513 239026 358539 478052 597565 717078 956104 1075617 1195130 1434156 1792695 2151234 2390260 2868312 3226851 3585390 4302468 4780520 5378085 6453702 7170780 8604936 10756170 12907404 14341560 16134255 21512340 25814808 32268510 43024680 64537020 129074040