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97135794 = 2337313821
BaseRepresentation
bin1011100101000…
…10110010110010
320202210000021000
411302202302302
5144331321134
613345542430
72256432510
oct562426262
9222700230
1097135794
114a915618
1228644a16
131717cc02
14cc874b0
1587dae99
hex5ca2cb2

97135794 has 64 divisors (see below), whose sum is σ = 247783680. Its totient is φ = 27630720.

The previous prime is 97135783. The next prime is 97135811. The reversal of 97135794 is 49753179.

97135794 is a `hidden beast` number, since 9 + 71 + 3 + 579 + 4 = 666.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 117904 + ... + 118724.

It is an arithmetic number, because the mean of its divisors is an integer number (3871620).

Almost surely, 297135794 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97135794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123891840).

97135794 is an abundant number, since it is smaller than the sum of its proper divisors (150647886).

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

97135794 is a wasteful number, since it uses less digits than its factorization.

97135794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its digits is 238140, while the sum is 45.

The square root of 97135794 is about 9855.7492865839. The cubic root of 97135794 is about 459.6843991463.

The spelling of 97135794 in words is "ninety-seven million, one hundred thirty-five thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 313 378 626 821 939 1642 1878 2191 2463 2817 4382 4926 5634 5747 6573 7389 8451 11494 13146 14778 16902 17241 19719 22167 34482 39438 44334 51723 59157 103446 118314 155169 256973 310338 513946 770919 1541838 1798811 2312757 3597622 4625514 5396433 6938271 10792866 13876542 16189299 32378598 48567897 97135794