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97354720 = 2555910313
BaseRepresentation
bin1011100110110…
…00001111100000
320210012010120101
411303120033200
5144410322340
613354352144
72261334001
oct563301740
9223163511
1097354720
114aa55051
122872b654
1317228758
14cd031a8
158830c9a
hex5cd83e0

97354720 has 48 divisors (see below), whose sum is σ = 233921520. Its totient is φ = 38278144.

The previous prime is 97354687. The next prime is 97354723. The reversal of 97354720 is 2745379.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 97354720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97354723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4284 + ... + 14596.

It is an arithmetic number, because the mean of its divisors is an integer number (4873365).

Almost surely, 297354720 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 97354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116960760).

97354720 is an abundant number, since it is smaller than the sum of its proper divisors (136566800).

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

97354720 is a wasteful number, since it uses less digits than its factorization.

97354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10387 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 97354720 is about 9866.8495478547. The cubic root of 97354720 is about 460.0294877127.

The spelling of 97354720 in words is "ninety-seven million, three hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1180 1888 2360 4720 9440 10313 20626 41252 51565 82504 103130 165008 206260 330016 412520 608467 825040 1216934 1650080 2433868 3042335 4867736 6084670 9735472 12169340 19470944 24338680 48677360 97354720