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130971808 = 25111743509
BaseRepresentation
bin1111100111001…
…11100010100000
3100010110001112201
413303213202200
5232012044213
620555102544
73150146002
oct763474240
9303401481
10130971808
1167a26070
1237a41a54
1321198c16
1413574372
15b7716dd
hex7ce78a0

130971808 has 96 divisors (see below), whose sum is σ = 305363520. Its totient is φ = 54620160.

The previous prime is 130971793. The next prime is 130971817. The reversal of 130971808 is 808179031.

It is a super-2 number, since 2×1309718082 = 34307228981577728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257058 + ... + 257566.

It is an arithmetic number, because the mean of its divisors is an integer number (3180870).

Almost surely, 2130971808 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 130971808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152681760).

130971808 is an abundant number, since it is smaller than the sum of its proper divisors (174391712).

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

130971808 is a wasteful number, since it uses less digits than its factorization.

130971808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The square root of 130971808 is about 11444.2915027537. The cubic root of 130971808 is about 507.8388725769.

The spelling of 130971808 in words is "one hundred thirty million, nine hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 43 44 68 86 88 136 172 176 187 272 344 352 374 473 509 544 688 731 748 946 1018 1376 1462 1496 1892 2036 2924 2992 3784 4072 5599 5848 5984 7568 8041 8144 8653 11198 11696 15136 16082 16288 17306 21887 22396 23392 32164 34612 43774 44792 64328 69224 87548 89584 95183 128656 138448 175096 179168 190366 240757 257312 276896 350192 372079 380732 481514 700384 744158 761464 963028 1488316 1522928 1926056 2976632 3045856 3852112 4092869 5953264 7704224 8185738 11906528 16371476 32742952 65485904 130971808