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130962972 = 223719312647
BaseRepresentation
bin1111100111001…
…01011000011100
3100010102121102110
413303211120130
5232011303342
620554554020
73150111150
oct763453034
9303377373
10130962972
1167a1a468
1237a38910
1321194baa
1413571060
15b76dc9c
hex7ce561c

130962972 has 96 divisors (see below), whose sum is σ = 379617280. Its totient is φ = 34292160.

The previous prime is 130962967. The next prime is 130962977. The reversal of 130962972 is 279269031.

It is an interprime number because it is at equal distance from previous prime (130962967) and next prime (130962977).

It is a self number, because there is not a number n which added to its sum of digits gives 130962972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130962977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48153 + ... + 50799.

Almost surely, 2130962972 is an apocalyptic number.

130962972 is a gapful number since it is divisible by the number (12) 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 130962972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189808640).

130962972 is an abundant number, since it is smaller than the sum of its proper divisors (248654308).

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

130962972 is a wasteful number, since it uses less digits than its factorization.

130962972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2709 counting only the distinct ones).

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

The square root of 130962972 is about 11443.9054522484. The cubic root of 130962972 is about 507.8274518870.

The spelling of 130962972 in words is "one hundred thirty million, nine hundred sixty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 266 372 399 434 532 589 651 798 868 1178 1302 1596 1767 2356 2604 2647 3534 4123 5294 7068 7941 8246 10588 12369 15882 16492 18529 24738 31764 37058 49476 50293 55587 74116 82057 100586 111174 150879 164114 201172 222348 246171 301758 328228 352051 492342 574399 603516 704102 984684 1056153 1148798 1408204 1559083 1723197 2112306 2297596 3118166 3446394 4224612 4677249 6236332 6892788 9354498 10913581 18708996 21827162 32740743 43654324 65481486 130962972