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130827844 = 2272192432
BaseRepresentation
bin1111100110001…
…00011001000100
3100010011202001201
413303010121010
5231442442334
620552032244
73146006200
oct763043104
9303152051
10130827844
1167937994
1237992684
1321148534
1413537b00
15b743c14
hex7cc4644

130827844 has 81 divisors (see below), whose sum is σ = 287771967. Its totient is φ = 51882768.

The previous prime is 130827791. The next prime is 130827847. The reversal of 130827844 is 448728031.

The square root of 130827844 is 11438.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (130827847) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3042487 + ... + 3042529.

Almost surely, 2130827844 is an apocalyptic number.

130827844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

130827844 is the 11438-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130827844

130827844 is an abundant number, since it is smaller than the sum of its proper divisors (156944123).

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

130827844 is a wasteful number, since it uses less digits than its factorization.

130827844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The cubic root of 130827844 is about 507.6527324688.

The spelling of 130827844 in words is "one hundred thirty million, eight hundred twenty-seven thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 43 49 76 86 98 133 172 196 266 301 361 532 602 722 817 931 1204 1444 1634 1849 1862 2107 2527 3268 3698 3724 4214 5054 5719 7396 8428 10108 11438 12943 15523 17689 22876 25886 31046 35131 35378 40033 51772 62092 70262 70756 80066 90601 108661 140524 160132 181202 217322 245917 362404 434644 491834 667489 760627 983668 1334978 1521254 1721419 2669956 3042508 3442838 4672423 6885676 9344846 18689692 32706961 65413922 130827844