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68024616 = 233111723659
BaseRepresentation
bin1000000110111…
…11100100101000
311202000000020020
410003133210220
5114403241431
610430000440
71454125332
oct403374450
9152000206
1068024616
11354419a0
121a946120
131112966a
14906a452
155e8a696
hex40df928

68024616 has 128 divisors (see below), whose sum is σ = 205286400. Its totient is φ = 18529280.

The previous prime is 68024591. The next prime is 68024623. The reversal of 68024616 is 61642086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102895 + ... + 103553.

It is an arithmetic number, because the mean of its divisors is an integer number (1603800).

Almost surely, 268024616 is an apocalyptic number.

68024616 is a gapful number since it is divisible by the number (66) 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 68024616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102643200).

68024616 is an abundant number, since it is smaller than the sum of its proper divisors (137261784).

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

68024616 is a wasteful number, since it uses less digits than its factorization.

68024616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68024616 is about 8247.7036804192. The cubic root of 68024616 is about 408.2147562214.

The spelling of 68024616 in words is "sixty-eight million, twenty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 374 391 408 506 552 561 659 748 759 782 1012 1122 1173 1318 1496 1518 1564 1977 2024 2244 2346 2636 3036 3128 3954 4301 4488 4692 5272 6072 7249 7908 8602 9384 11203 12903 14498 15157 15816 17204 21747 22406 25806 28996 30314 33609 34408 43494 44812 45471 51612 57992 60628 67218 86988 89624 90942 103224 121256 123233 134436 166727 173976 181884 246466 257669 268872 333454 363768 369699 492932 500181 515338 666908 739398 773007 985864 1000362 1030676 1333816 1478796 1546014 2000724 2061352 2834359 2957592 3092028 4001448 5668718 6184056 8503077 11337436 17006154 22674872 34012308 68024616