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129140496 = 24329472
BaseRepresentation
bin1111011001010…
…00011100010000
3100000000000110100
413230220130100
5231024443441
620451532400
73125450622
oct754503420
9300000410
10129140496
1166995191
12372ba100
13209a74c4
1413218c12
15b50dcb6
hex7b28710

129140496 has 45 divisors (see below), whose sum is σ = 361796071. Its totient is φ = 43001376.

The previous prime is 129140491. The next prime is 129140497. The reversal of 129140496 is 694041921.

It is a happy number.

The square root of 129140496 is 11364.

It is a perfect power (a square), and thus also a powerful number.

129140496 is a `hidden beast` number, since 1 + 29 + 140 + 496 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 129140496.

It is not an unprimeable number, because it can be changed into a prime (129140491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135895 + ... + 136841.

Almost surely, 2129140496 is an apocalyptic number.

129140496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

129140496 is the 11364-th square number.

It is an amenable number.

129140496 is an abundant number, since it is smaller than the sum of its proper divisors (232655575).

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

129140496 is an frugal number, since it uses more digits than its factorization.

129140496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The cubic root of 129140496 is about 505.4608034602.

Multiplying 129140496 by its sum of digits (36), we get a square (4649057856 = 681842).

129140496 divided by its sum of digits (36) gives a square (3587236 = 18942).

It can be divided in two parts, 129 and 140496, that added together give a square (140625 = 3752).

The spelling of 129140496 in words is "one hundred twenty-nine million, one hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 947 1894 2841 3788 5682 7576 8523 11364 15152 17046 22728 34092 45456 68184 136368 896809 1793618 2690427 3587236 5380854 7174472 8071281 10761708 14348944 16142562 21523416 32285124 43046832 64570248 129140496