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68735616 = 273199421
BaseRepresentation
bin1000001100011…
…01001010000000
311210100010112120
410012031022000
5120044014431
610453124240
71463146245
oct406151200
9153303476
1068735616
11358880a4
121b029680
1311318181
1491b35cc
15607b196
hex418d280

68735616 has 64 divisors (see below), whose sum is σ = 192208800. Its totient is φ = 21703680.

The previous prime is 68735549. The next prime is 68735621. The reversal of 68735616 is 61653786.

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

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, 2586 + ... + 12006.

Almost surely, 268735616 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 68735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96104400).

68735616 is an abundant number, since it is smaller than the sum of its proper divisors (123473184).

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

68735616 is a wasteful number, since it uses less digits than its factorization.

68735616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9457 (or 9445 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 68735616 is about 8290.6945426786. The cubic root of 68735616 is about 409.6320633266.

The spelling of 68735616 in words is "sixty-eight million, seven hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 9421 18842 28263 37684 56526 75368 113052 150736 178999 226104 301472 357998 452208 536997 602944 715996 904416 1073994 1205888 1431992 1808832 2147988 2863984 3617664 4295976 5727968 8591952 11455936 17183904 22911872 34367808 68735616