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97136704 = 267534091
BaseRepresentation
bin1011100101000…
…11000001000000
320202210001111201
411302203001000
5144331333304
613345550544
72256435250
oct562430100
9222701451
1097136704
114a916275
1228645454
1317180452
14cc87960
1587db3a4
hex5ca3040

97136704 has 56 divisors (see below), whose sum is σ = 224503488. Its totient is φ = 40834560.

The previous prime is 97136701. The next prime is 97136717. The reversal of 97136704 is 40763179.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (97136701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21699 + ... + 25789.

Almost surely, 297136704 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 97136704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112251744).

97136704 is an abundant number, since it is smaller than the sum of its proper divisors (127366784).

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

97136704 is a wasteful number, since it uses less digits than its factorization.

97136704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4163 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 37.

The square root of 97136704 is about 9855.7954524229. The cubic root of 97136704 is about 459.6858346332.

It can be divided in two parts, 971 and 36704, that added together give a triangular number (37675 = T274).

The spelling of 97136704 in words is "ninety-seven million, one hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2968 3392 4091 5936 8182 11872 16364 23744 28637 32728 57274 65456 114548 130912 216823 229096 261824 433646 458192 867292 916384 1517761 1734584 1832768 3035522 3469168 6071044 6938336 12142088 13876672 24284176 48568352 97136704