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97074096 = 24372149277
BaseRepresentation
bin1011100100100…
…11101110110000
320202122212121220
411302103232300
5144322332341
613344345040
72256054600
oct562235660
9222585556
1097074096
114a883229
1228615180
131715aac2
14cc6cc00
1587c7a66
hex5c93bb0

97074096 has 120 divisors (see below), whose sum is σ = 294735600. Its totient is φ = 27449856.

The previous prime is 97074079. The next prime is 97074139. The reversal of 97074096 is 69047079.

It is a super-2 number, since 2×970740962 = 18846760228434432, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350310 + ... + 350586.

It is an arithmetic number, because the mean of its divisors is an integer number (2456130).

Almost surely, 297074096 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 97074096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147367800).

97074096 is an abundant number, since it is smaller than the sum of its proper divisors (197661504).

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

97074096 is a wasteful number, since it uses less digits than its factorization.

97074096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 97074096 is about 9852.6187381833. The cubic root of 97074096 is about 459.5870522128.

The spelling of 97074096 in words is "ninety-seven million, seventy-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 149 168 196 277 294 298 336 392 447 554 588 596 784 831 894 1043 1108 1176 1192 1662 1788 1939 2086 2216 2352 2384 3129 3324 3576 3878 4172 4432 5817 6258 6648 7152 7301 7756 8344 11634 12516 13296 13573 14602 15512 16688 21903 23268 25032 27146 29204 31024 40719 41273 43806 46536 50064 54292 58408 81438 82546 87612 93072 108584 116816 123819 162876 165092 175224 217168 247638 288911 325752 330184 350448 495276 577822 651504 660368 866733 990552 1155644 1733466 1981104 2022377 2311288 3466932 4044754 4622576 6067131 6933864 8089508 12134262 13867728 16179016 24268524 32358032 48537048 97074096