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65368116 = 223211237177
BaseRepresentation
bin1111100101011…
…1000000110100
311120000001012100
43321113000310
5113213234431
610253022100
71422422412
oct371270064
9146001170
1065368116
1133998040
1219a84930
1310709478
1489782b2
155b134e6
hex3e57034

65368116 has 72 divisors (see below), whose sum is σ = 188121024. Its totient is φ = 18944640.

The previous prime is 65368103. The next prime is 65368123. The reversal of 65368116 is 61186356.

It is a happy number.

65368116 is a `hidden beast` number, since 6 + 536 + 8 + 116 = 666.

65368116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5520 + ... + 12696.

It is an arithmetic number, because the mean of its divisors is an integer number (2612792).

Almost surely, 265368116 is an apocalyptic number.

65368116 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 65368116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94060512).

65368116 is an abundant number, since it is smaller than the sum of its proper divisors (122752908).

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

65368116 is a wasteful number, since it uses less digits than its factorization.

65368116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7216 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 65368116 is about 8085.0551018530. The cubic root of 65368116 is about 402.8301697865.

The spelling of 65368116 in words is "sixty-five million, three hundred sixty-eight thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 44 46 66 69 92 99 132 138 198 207 253 276 396 414 506 759 828 1012 1518 2277 3036 4554 7177 9108 14354 21531 28708 43062 64593 78947 86124 129186 157894 165071 236841 258372 315788 330142 473682 495213 660284 710523 947364 990426 1421046 1485639 1815781 1980852 2842092 2971278 3631562 5447343 5942556 7263124 10894686 16342029 21789372 32684058 65368116