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65396112 = 2433171619
BaseRepresentation
bin1111100101110…
…1110110010000
311120001110121020
43321131312100
5113220133422
610253355440
71422600135
oct371356620
9146043536
1065396112
1133a07081
1219a98b80
1310719132
14898458c
155b1b95c
hex3e5dd90

65396112 has 80 divisors (see below), whose sum is σ = 177131520. Its totient is φ = 20764800.

The previous prime is 65396053. The next prime is 65396141. The reversal of 65396112 is 21169356.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105339 + ... + 105957.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 265396112 is an apocalyptic number.

65396112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

65396112 is the 6603-rd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65396112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88565760).

65396112 is an abundant number, since it is smaller than the sum of its proper divisors (111735408).

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

65396112 is a wasteful number, since it uses less digits than its factorization.

65396112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 65396112 is about 8086.7862590772. The cubic root of 65396112 is about 402.8876699079.

The spelling of 65396112 in words is "sixty-five million, three hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 213 248 284 372 426 496 568 619 744 852 1136 1238 1488 1704 1857 2201 2476 3408 3714 4402 4952 6603 7428 8804 9904 13206 14856 17608 19189 26412 29712 35216 38378 43949 52824 57567 76756 87898 105648 115134 131847 153512 175796 230268 263694 307024 351592 460536 527388 703184 921072 1054776 1362419 2109552 2724838 4087257 5449676 8174514 10899352 16349028 21798704 32698056 65396112