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130981872 = 24371723997
BaseRepresentation
bin1111100111010…
…01111111110000
3100010110120100110
413303221333300
5232012404442
620555221320
73150220230
oct763517760
9303416313
10130981872
1167a3268a
1237a47840
13211a0688
1413577cc0
15b77469c
hex7ce9ff0

130981872 has 160 divisors (see below), whose sum is σ = 427686912. Its totient is φ = 33656832.

The previous prime is 130981871. The next prime is 130981883. The reversal of 130981872 is 278189031.

It is a self number, because there is not a number n which added to its sum of digits gives 130981872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130981871) 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, 130878 + ... + 131874.

Almost surely, 2130981872 is an apocalyptic number.

130981872 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 130981872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213843456).

130981872 is an abundant number, since it is smaller than the sum of its proper divisors (296705040).

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

130981872 is a wasteful number, since it uses less digits than its factorization.

130981872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 130981872 is about 11444.7311895038. The cubic root of 130981872 is about 507.8518798532.

The spelling of 130981872 in words is "one hundred thirty million, nine hundred eighty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 23 24 28 34 42 46 48 51 56 68 69 84 92 102 112 119 136 138 161 168 184 204 238 272 276 322 336 357 368 391 408 476 483 552 644 714 782 816 952 966 997 1104 1173 1288 1428 1564 1904 1932 1994 2346 2576 2737 2856 2991 3128 3864 3988 4692 5474 5712 5982 6256 6979 7728 7976 8211 9384 10948 11964 13958 15952 16422 16949 18768 20937 21896 22931 23928 27916 32844 33898 41874 43792 45862 47856 50847 55832 65688 67796 68793 83748 91724 101694 111664 118643 131376 135592 137586 160517 167496 183448 203388 237286 271184 275172 321034 334992 355929 366896 389827 406776 474572 481551 550344 642068 711858 779654 813552 949144 963102 1100688 1169481 1284136 1423716 1559308 1898288 1926204 2338962 2568272 2728789 2847432 3118616 3852408 4677924 5457578 5694864 6237232 7704816 8186367 9355848 10915156 16372734 18711696 21830312 32745468 43660624 65490936 130981872