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68954976 = 253437719
BaseRepresentation
bin1000001110000…
…10101101100000
311210202021110000
410013002231200
5120123024401
610501540000
71465051626
oct407025540
9153667400
1068954976
1135a17992
121b114600
1311393c7c
14922d516
1560c1186
hex41c2b60

68954976 has 120 divisors (see below), whose sum is σ = 208565280. Its totient is φ = 22332672.

The previous prime is 68954957. The next prime is 68954983. The reversal of 68954976 is 67945986.

68954976 is a `hidden beast` number, since 68 + 95 + 497 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95545 + ... + 96263.

It is an arithmetic number, because the mean of its divisors is an integer number (1738044).

Almost surely, 268954976 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 68954976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

68954976 is an abundant number, since it is smaller than the sum of its proper divisors (139610304).

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

68954976 is a wasteful number, since it uses less digits than its factorization.

68954976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 761 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 68954976 is about 8303.9132943450. The cubic root of 68954976 is about 410.0673615278.

The spelling of 68954976 in words is "sixty-eight million, nine hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 719 864 888 999 1184 1296 1332 1438 1776 1998 2157 2592 2664 2876 2997 3552 3996 4314 5328 5752 5994 6471 7992 8628 10656 11504 11988 12942 15984 17256 19413 23008 23976 25884 26603 31968 34512 38826 47952 51768 53206 58239 69024 77652 79809 95904 103536 106412 116478 155304 159618 207072 212824 232956 239427 310608 319236 425648 465912 478854 621216 638472 718281 851296 931824 957708 1276944 1436562 1863648 1915416 2154843 2553888 2873124 3830832 4309686 5746248 7661664 8619372 11492496 17238744 22984992 34477488 68954976