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97410096 = 24327412357
BaseRepresentation
bin1011100111001…
…01110000110000
320210021221112100
411303211300300
5144414110341
613355500400
72261654310
oct563456060
9223257470
1097410096
114aa92713
1228757700
1317247a14
14cd19440
1588423b6
hex5ce5c30

97410096 has 120 divisors (see below), whose sum is σ = 319292064. Its totient is φ = 27141120.

The previous prime is 97410073. The next prime is 97410113. The reversal of 97410096 is 69001479.

97410096 = T183 + T184 + ... + T838.

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 97410096.

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, 40150 + ... + 42506.

Almost surely, 297410096 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 97410096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159646032).

97410096 is an abundant number, since it is smaller than the sum of its proper divisors (221881968).

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

97410096 is a wasteful number, since it uses less digits than its factorization.

97410096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2419 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 97410096 is about 9869.6553131302. The cubic root of 97410096 is about 460.1166937718.

The spelling of 97410096 in words is "ninety-seven million, four hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1476 1722 1968 2296 2357 2583 2952 3444 4592 4714 5166 5904 6888 7071 9428 10332 13776 14142 16499 18856 20664 21213 28284 32998 37712 41328 42426 49497 56568 65996 84852 96637 98994 113136 131992 148491 169704 193274 197988 263984 289911 296982 339408 386548 395976 579822 593964 676459 773096 791952 869733 1159644 1187928 1352918 1546192 1739466 2029377 2319288 2375856 2705836 3478932 4058754 4638576 5411672 6088131 6957864 8117508 10823344 12176262 13915728 16235016 24352524 32470032 48705048 97410096