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96727068 = 223331167173
BaseRepresentation
bin1011100001111…
…11000000011100
320202000020121000
411300333000130
5144230231233
613333110300
72253111054
oct560770034
9222006530
1096727068
114a666529
1228488390
1317068b69
14cbbc564
158759d13
hex5c3f01c

96727068 has 96 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 30836160.

The previous prime is 96727061. The next prime is 96727079. The reversal of 96727068 is 86072769.

It is a happy number.

It is a super-2 number, since 2×967270682 = 18712251367753248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96727061) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 559030 + ... + 559202.

It is an arithmetic number, because the mean of its divisors is an integer number (2728320).

Almost surely, 296727068 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 96727068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130959360).

96727068 is an abundant number, since it is smaller than the sum of its proper divisors (165191652).

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

96727068 is a wasteful number, since it uses less digits than its factorization.

96727068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 96727068 is about 9834.9920182987. The cubic root of 96727068 is about 459.0387425113.

The spelling of 96727068 in words is "ninety-six million, seven hundred twenty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 167 173 186 279 334 346 372 501 519 558 668 692 837 1002 1038 1116 1503 1557 1674 2004 2076 3006 3114 3348 4509 4671 5177 5363 6012 6228 9018 9342 10354 10726 15531 16089 18036 18684 20708 21452 28891 31062 32178 46593 48267 57782 62124 64356 86673 93186 96534 115564 139779 144801 173346 186372 193068 260019 279558 289602 346692 520038 559116 579204 780057 895621 1040076 1560114 1791242 2686863 3120228 3582484 5373726 8060589 10747452 16121178 24181767 32242356 48363534 96727068