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97111296 = 2832113373
BaseRepresentation
bin1011100100111…
…00110100000000
320202201202122200
411302130310000
5144330030141
613345233200
72256301212
oct562346400
9222652580
1097111296
114a8a9177
1228632800
1317171a09
14cc7c5b2
1587d3ab6
hex5c9cd00

97111296 has 108 divisors (see below), whose sum is σ = 283230948. Its totient is φ = 31997952.

The previous prime is 97111291. The next prime is 97111309. The reversal of 97111296 is 69211179.

It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 76317696 = 4560^2 + 8736^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 97111296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97111291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260166 + ... + 260538.

Almost surely, 297111296 is an apocalyptic number.

97111296 is a gapful number since it is divisible by the number (96) 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 97111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141615474).

97111296 is an abundant number, since it is smaller than the sum of its proper divisors (186119652).

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

97111296 is a wasteful number, since it uses less digits than its factorization.

97111296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 491 counting only the distinct ones).

The product of its digits is 6804, while the sum is 36.

The square root of 97111296 is about 9854.5063803318. The cubic root of 97111296 is about 459.6457512054.

The spelling of 97111296 in words is "ninety-seven million, one hundred eleven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 256 288 339 373 384 452 576 678 746 768 904 1017 1119 1152 1356 1492 1808 2034 2238 2304 2712 2984 3357 3616 4068 4476 5424 5968 6714 7232 8136 8952 10848 11936 13428 14464 16272 17904 21696 23872 26856 28928 32544 35808 42149 43392 47744 53712 65088 71616 84298 86784 95488 107424 126447 130176 143232 168596 214848 252894 260352 286464 337192 379341 429696 505788 674384 758682 859392 1011576 1348768 1517364 2023152 2697536 3034728 4046304 5395072 6069456 8092608 10790144 12138912 16185216 24277824 32370432 48555648 97111296