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68415872 = 277292633
BaseRepresentation
bin1000001001111…
…11000110000000
311202201212221012
410010333012000
5120003301442
610442220052
71460345120
oct404770600
9152655835
1068415872
1135689948
121aab4628
1311235785
14912cc80
156016582
hex413f180

68415872 has 64 divisors (see below), whose sum is σ = 161200800. Its totient is φ = 28299264.

The previous prime is 68415863. The next prime is 68415877. The reversal of 68415872 is 27851486.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68415877) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24668 + ... + 27300.

Almost surely, 268415872 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 68415872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80600400).

68415872 is an abundant number, since it is smaller than the sum of its proper divisors (92784928).

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

68415872 is a wasteful number, since it uses less digits than its factorization.

68415872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2671 counting only the distinct ones).

The product of its digits is 107520, while the sum is 41.

The square root of 68415872 is about 8271.3887588482. The cubic root of 68415872 is about 408.9959010674.

The spelling of 68415872 in words is "sixty-eight million, four hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 2633 3248 3712 5266 6496 10532 12992 18431 21064 25984 36862 42128 73724 76357 84256 147448 152714 168512 294896 305428 337024 534499 589792 610856 1068998 1179584 1221712 2137996 2359168 2443424 4275992 4886848 8551984 9773696 17103968 34207936 68415872