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130472960 = 2105171499
BaseRepresentation
bin1111100011011…
…01110000000000
3100002111201020212
413301231300000
5231400113320
620540253252
73143000432
oct761556000
9302451225
10130472960
11677152a2
1237841228
1321052b47
1413484652
15b6c39c5
hex7c6dc00

130472960 has 88 divisors (see below), whose sum is σ = 331614000. Its totient is φ = 49086464.

The previous prime is 130472941. The next prime is 130472983. The reversal of 130472960 is 69274031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86291 + ... + 87789.

Almost surely, 2130472960 is an apocalyptic number.

130472960 is a gapful number since it is divisible by the number (10) 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 130472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165807000).

130472960 is an abundant number, since it is smaller than the sum of its proper divisors (201141040).

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

130472960 is a wasteful number, since it uses less digits than its factorization.

130472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 130472960 is about 11422.4760888347. The cubic root of 130472960 is about 507.1932966902.

The spelling of 130472960 in words is "one hundred thirty million, four hundred seventy-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 1499 2176 2560 2720 2998 4352 5120 5440 5996 7495 8704 10880 11992 14990 17408 21760 23984 25483 29980 43520 47968 50966 59960 87040 95936 101932 119920 127415 191872 203864 239840 254830 383744 407728 479680 509660 767488 815456 959360 1019320 1534976 1630912 1918720 2038640 3261824 3837440 4077280 6523648 7674880 8154560 13047296 16309120 26094592 32618240 65236480 130472960