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68130816 = 211313853
BaseRepresentation
bin1000000111110…
…01100000000000
311202012101220120
410003321200000
5114420141231
610432140240
71455050055
oct403714000
9152171816
1068130816
1135504766
121a997680
1311165ac0
14909702c
155eabd96
hex40f9800

68130816 has 96 divisors (see below), whose sum is σ = 195839280. Its totient is φ = 20938752.

The previous prime is 68130809. The next prime is 68130833. The reversal of 68130816 is 61803186.

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 7 ways as a sum of consecutive naturals, for example, 79446 + ... + 80298.

Almost surely, 268130816 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 68130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97919640).

68130816 is an abundant number, since it is smaller than the sum of its proper divisors (127708464).

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

68130816 is a wasteful number, since it uses less digits than its factorization.

68130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 68130816 is about 8254.1393252113. The cubic root of 68130816 is about 408.4270806642.

The spelling of 68130816 in words is "sixty-eight million, one hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 853 1024 1248 1536 1664 1706 2048 2496 2559 3072 3328 3412 4992 5118 6144 6656 6824 9984 10236 11089 13312 13648 19968 20472 22178 26624 27296 33267 39936 40944 44356 54592 66534 79872 81888 88712 109184 133068 163776 177424 218368 266136 327552 354848 436736 532272 655104 709696 873472 1064544 1310208 1419392 1746944 2129088 2620416 2838784 4258176 5240832 5677568 8516352 11355136 17032704 22710272 34065408 68130816