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60816768 = 2731091453
BaseRepresentation
bin1110011111111…
…1110110000000
311020102210220220
43213333312000
5111032114033
610011303040
71335635235
oct347776600
9136383826
1060816768
11313695a1
121844aa80
13c7a496c
14811178c
155514bb3
hex39ffd80

60816768 has 64 divisors (see below), whose sum is σ = 163138800. Its totient is φ = 20072448.

The previous prime is 60816757. The next prime is 60816781. The reversal of 60816768 is 86761806.

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

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, 41130 + ... + 42582.

Almost surely, 260816768 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 60816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81569400).

60816768 is an abundant number, since it is smaller than the sum of its proper divisors (102322032).

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

60816768 is a wasteful number, since it uses less digits than its factorization.

60816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 60816768 is about 7798.5106270364. The cubic root of 60816768 is about 393.2551742304.

The spelling of 60816768 in words is "sixty million, eight hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 192 218 327 384 436 654 872 1308 1453 1744 2616 2906 3488 4359 5232 5812 6976 8718 10464 11624 13952 17436 20928 23248 34872 41856 46496 69744 92992 139488 158377 185984 278976 316754 475131 557952 633508 950262 1267016 1900524 2534032 3801048 5068064 7602096 10136128 15204192 20272256 30408384 60816768