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129161040 = 24353071753
BaseRepresentation
bin1111011001011…
…01011101010000
3100000001001122020
413230231131100
5231031123130
620452211440
73125564541
oct754553520
9300031566
10129161040
11669a9668
1237309b80
13209b3968
14132224c8
15b514e10
hex7b2d750

129161040 has 80 divisors (see below), whose sum is σ = 401932608. Its totient is φ = 34311168.

The previous prime is 129161033. The next prime is 129161051. The reversal of 129161040 is 40161921.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 129161040.

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, 72804 + ... + 74556.

Almost surely, 2129161040 is an apocalyptic number.

129161040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129161040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200966304).

129161040 is an abundant number, since it is smaller than the sum of its proper divisors (272771568).

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

129161040 is a wasteful number, since it uses less digits than its factorization.

129161040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 129161040 is about 11364.9038711289. The cubic root of 129161040 is about 505.4876053710.

The spelling of 129161040 in words is "one hundred twenty-nine million, one hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 921 1228 1535 1753 1842 2456 3070 3506 3684 4605 4912 5259 6140 7012 7368 8765 9210 10518 12280 14024 14736 17530 18420 21036 24560 26295 28048 35060 36840 42072 52590 70120 73680 84144 105180 140240 210360 420720 538171 1076342 1614513 2152684 2690855 3229026 4305368 5381710 6458052 8072565 8610736 10763420 12916104 16145130 21526840 25832208 32290260 43053680 64580520 129161040