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130292967 = 3743144289
BaseRepresentation
bin1111100010000…
…01110011100111
3100002011120100110
413301001303213
5231323333332
620532344103
73141320610
oct761016347
9302146313
10130292967
1167602042
1237775033
1320cbbc3c
1413438c07
15b68a4cc
hex7c41ce7

130292967 has 16 divisors (see below), whose sum is σ = 203160320. Its totient is φ = 72721152.

The previous prime is 130292963. The next prime is 130292971. The reversal of 130292967 is 769292031.

It is an interprime number because it is at equal distance from previous prime (130292963) and next prime (130292971).

It is not a de Polignac number, because 130292967 - 22 = 130292963 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130292963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71242 + ... + 73047.

It is an arithmetic number, because the mean of its divisors is an integer number (12697520).

Almost surely, 2130292967 is an apocalyptic number.

130292967 is a deficient number, since it is larger than the sum of its proper divisors (72867353).

130292967 is a wasteful number, since it uses less digits than its factorization.

130292967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144342.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 130292967 is about 11414.5944737428. The cubic root of 130292967 is about 506.9599577789.

The spelling of 130292967 in words is "one hundred thirty million, two hundred ninety-two thousand, nine hundred sixty-seven".

Divisors: 1 3 7 21 43 129 301 903 144289 432867 1010023 3030069 6204427 18613281 43430989 130292967