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96127668 = 22337139781
BaseRepresentation
bin1011011101011…
…00101010110100
320200212210101000
411232230222310
5144102041133
613312203300
72245033410
oct556545264
9220783330
1096127668
114a29715a
1228239530
1316bb90a0
14caa3d40
15868c413
hex5bacab4

96127668 has 96 divisors (see below), whose sum is σ = 306763520. Its totient is φ = 25349760.

The previous prime is 96127667. The next prime is 96127699. The reversal of 96127668 is 86672169.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96127667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4938 + ... + 14718.

Almost surely, 296127668 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 96127668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153381760).

96127668 is an abundant number, since it is smaller than the sum of its proper divisors (210635852).

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

96127668 is a wasteful number, since it uses less digits than its factorization.

96127668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9814 (or 9806 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 96127668 is about 9804.4718368712. The cubic root of 96127668 is about 458.0885840236.

The spelling of 96127668 in words is "ninety-six million, one hundred twenty-seven thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 3276 4914 9781 9828 19562 29343 39124 58686 68467 88029 117372 127153 136934 176058 205401 254306 264087 273868 352116 381459 410802 508612 528174 616203 762918 821604 890071 1056348 1144377 1232406 1525836 1780142 1848609 2288754 2464812 2670213 3433131 3560284 3697218 4577508 5340426 6866262 7394436 8010639 10680852 13732524 16021278 24031917 32042556 48063834 96127668