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68610816 = 283297307
BaseRepresentation
bin1000001011011…
…10101100000000
311210002210100100
410011232230000
5120031021231
610450322400
71462116351
oct405565400
9153083310
1068610816
113580235a
121ab89400
13112a3421
14917dd28
1560541e6
hex416eb00

68610816 has 108 divisors (see below), whose sum is σ = 200512312. Its totient is φ = 22560768.

The previous prime is 68610799. The next prime is 68610821. The reversal of 68610816 is 61801686.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223335 + ... + 223641.

Almost surely, 268610816 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 68610816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100256156).

68610816 is an abundant number, since it is smaller than the sum of its proper divisors (131901496).

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

68610816 is a wasteful number, since it uses less digits than its factorization.

68610816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68610816 is about 8283.1646126345. The cubic root of 68610816 is about 409.3839966245.

The spelling of 68610816 in words is "sixty-eight million, six hundred ten thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 256 288 291 307 384 388 576 582 614 768 776 873 921 1152 1164 1228 1552 1746 1842 2304 2328 2456 2763 3104 3492 3684 4656 4912 5526 6208 6984 7368 9312 9824 11052 12416 13968 14736 18624 19648 22104 24832 27936 29472 29779 37248 39296 44208 55872 58944 59558 74496 78592 88416 89337 111744 117888 119116 176832 178674 223488 235776 238232 268011 353664 357348 476464 536022 707328 714696 952928 1072044 1429392 1905856 2144088 2858784 3811712 4288176 5717568 7623424 8576352 11435136 17152704 22870272 34305408 68610816