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130888416 = 2531973983
BaseRepresentation
bin1111100110100…
…11001011100000
3100010021211011010
413303103023200
5232001412131
620553220520
73146350611
oct763231340
9303254133
10130888416
116797944a
1237a01740
1321169c89
1413551c08
15b756b46
hex7cd32e0

130888416 has 96 divisors (see below), whose sum is σ = 366992640. Its totient is φ = 40725504.

The previous prime is 130888409. The next prime is 130888447. The reversal of 130888416 is 614888031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 132661 + ... + 133643.

It is an arithmetic number, because the mean of its divisors is an integer number (3822840).

Almost surely, 2130888416 is an apocalyptic number.

130888416 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 130888416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183496320).

130888416 is an abundant number, since it is smaller than the sum of its proper divisors (236104224).

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

130888416 is a wasteful number, since it uses less digits than its factorization.

130888416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 130888416 is about 11440.6475341215. The cubic root of 130888416 is about 507.7310664483.

The spelling of 130888416 in words is "one hundred thirty million, eight hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 73 76 96 114 146 152 219 228 292 304 438 456 584 608 876 912 983 1168 1387 1752 1824 1966 2336 2774 2949 3504 3932 4161 5548 5898 7008 7864 8322 11096 11796 15728 16644 18677 22192 23592 31456 33288 37354 44384 47184 56031 66576 71759 74708 94368 112062 133152 143518 149416 215277 224124 287036 298832 430554 448248 574072 597664 861108 896496 1148144 1363421 1722216 1792992 2296288 2726842 3444432 4090263 5453684 6888864 8180526 10907368 16361052 21814736 32722104 43629472 65444208 130888416