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130374496 = 2572176773
BaseRepresentation
bin1111100010101…
…01101101100000
3100002022201012001
413301111231200
5231333440441
620534213344
73142110400
oct761255540
9302281161
10130374496
116765831a
12377b4254
132101a095
141345a800
15b6a4731
hex7c55b60

130374496 has 144 divisors (see below), whose sum is σ = 325258416. Its totient is φ = 51093504.

The previous prime is 130374487. The next prime is 130374521. The reversal of 130374496 is 694473031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1785916 + ... + 1785988.

It is an arithmetic number, because the mean of its divisors is an integer number (2258739).

Almost surely, 2130374496 is an apocalyptic number.

130374496 is a gapful number since it is divisible by the number (16) 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 130374496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162629208).

130374496 is an abundant number, since it is smaller than the sum of its proper divisors (194883920).

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

130374496 is a wasteful number, since it uses less digits than its factorization.

130374496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 37.

The square root of 130374496 is about 11418.1651765947. The cubic root of 130374496 is about 507.0656767633.

The spelling of 130374496 in words is "one hundred thirty million, three hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 67 68 73 98 112 119 134 136 146 196 224 238 268 272 292 392 469 476 511 536 544 584 784 833 938 952 1022 1072 1139 1168 1241 1568 1666 1876 1904 2044 2144 2278 2336 2482 3283 3332 3577 3752 3808 4088 4556 4891 4964 6566 6664 7154 7504 7973 8176 8687 9112 9782 9928 13132 13328 14308 15008 15946 16352 17374 18224 19564 19856 26264 26656 28616 31892 34237 34748 36448 39128 39712 52528 55811 57232 60809 63784 68474 69496 78256 83147 105056 111622 114464 121618 127568 136948 138992 156512 166294 223244 239659 243236 255136 273896 277984 332588 446488 479318 486472 547792 582029 665176 892976 958636 972944 1095584 1164058 1330352 1785952 1917272 1945888 2328116 2660704 3834544 4074203 4656232 7669088 8148406 9312464 16296812 18624928 32593624 65187248 130374496