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130942476 = 22327598807
BaseRepresentation
bin1111100111000…
…00011000001100
3100010101120022100
413303200120030
5232010124401
620554315100
73146664330
oct763403014
9303346270
10130942476
1167a06025
1237a28a90
1321188772
14135677c0
15b767b86
hex7ce060c

130942476 has 72 divisors (see below), whose sum is σ = 384733440. Its totient is φ = 36773856.

The previous prime is 130942411. The next prime is 130942477. The reversal of 130942476 is 674249031.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 130942476.

It is not an unprimeable number, because it can be changed into a prime (130942477) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10465 + ... + 19271.

It is an arithmetic number, because the mean of its divisors is an integer number (5343520).

Almost surely, 2130942476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130942476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192366720).

130942476 is an abundant number, since it is smaller than the sum of its proper divisors (253790964).

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

130942476 is a wasteful number, since it uses less digits than its factorization.

130942476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8883 (or 8878 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 130942476 is about 11443.0099187233. The cubic root of 130942476 is about 507.8009584583.

The spelling of 130942476 in words is "one hundred thirty million, nine hundred forty-two thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 354 413 531 708 826 1062 1239 1652 2124 2478 3717 4956 7434 8807 14868 17614 26421 35228 52842 61649 79263 105684 123298 158526 184947 246596 317052 369894 519613 554841 739788 1039226 1109682 1558839 2078452 2219364 3117678 3637291 4676517 6235356 7274582 9353034 10911873 14549164 18706068 21823746 32735619 43647492 65471238 130942476