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97352136 = 23327419461
BaseRepresentation
bin1011100110101…
…11100111001000
320210012000000200
411303113213020
5144410232021
613354332200
72261323320
oct563274710
9223160020
1097352136
114aa53112
122872a060
131722751b
14cd02280
158830126
hex5cd79c8

97352136 has 96 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 27688320.

The previous prime is 97352119. The next prime is 97352137. The reversal of 97352136 is 63125379.

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 97352136.

It is not an unprimeable number, because it can be changed into a prime (97352137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210946 + ... + 211406.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 297352136 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 97352136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151351200).

97352136 is an abundant number, since it is smaller than the sum of its proper divisors (205350264).

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

97352136 is a wasteful number, since it uses less digits than its factorization.

97352136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 97352136 is about 9866.7186034669. The cubic root of 97352136 is about 460.0254176251.

The spelling of 97352136 in words is "ninety-seven million, three hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 419 461 504 838 922 1257 1383 1676 1844 2514 2766 2933 3227 3352 3688 3771 4149 5028 5532 5866 6454 7542 8298 8799 9681 10056 11064 11732 12908 15084 16596 17598 19362 23464 25816 26397 29043 30168 33192 35196 38724 52794 58086 70392 77448 105588 116172 193159 211176 232344 386318 579477 772636 1158954 1352113 1545272 1738431 2317908 2704226 3476862 4056339 4635816 5408452 6953724 8112678 10816904 12169017 13907448 16225356 24338034 32450712 48676068 97352136