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97261960 = 2356733613
BaseRepresentation
bin1011100110000…
…01100110001000
320210000102022211
411303001212020
5144344340320
613352354504
72260466365
oct563014610
9223012284
1097261960
114a9a1394
12286a5a34
13171c5473
14ccbb46c
15881355a
hex5cc1988

97261960 has 32 divisors (see below), whose sum is σ = 219225240. Its totient is φ = 38836224.

The previous prime is 97261951. The next prime is 97261961. The reversal of 97261960 is 6916279.

It can be written as a sum of positive squares in 4 ways, for example, as 34503876 + 62758084 = 5874^2 + 7922^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (97261961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25114 + ... + 28726.

Almost surely, 297261960 is an apocalyptic number.

It is an amenable number.

97261960 is an abundant number, since it is smaller than the sum of its proper divisors (121963280).

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

97261960 is a wasteful number, since it uses less digits than its factorization.

97261960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4293 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 40.

The square root of 97261960 is about 9862.1478390866. The cubic root of 97261960 is about 459.8833352534.

The spelling of 97261960 in words is "ninety-seven million, two hundred sixty-one thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 673 1346 2692 3365 3613 5384 6730 7226 13460 14452 18065 26920 28904 36130 72260 144520 2431549 4863098 9726196 12157745 19452392 24315490 48630980 97261960