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97272680 = 235832353
BaseRepresentation
bin1011100110001…
…00001101101000
320210000222000212
411303010031220
5144400211210
613352520252
72260542551
oct563041550
9223028025
1097272680
114a9a944a
12286b0088
13171ca2cb
14ccc1328
158816805
hex5cc4368

97272680 has 48 divisors (see below), whose sum is σ = 222159780. Its totient is φ = 38331392.

The previous prime is 97272653. The next prime is 97272683. The reversal of 97272680 is 8627279.

It can be written as a sum of positive squares in 2 ways, for example, as 95922436 + 1350244 = 9794^2 + 1162^2 .

It is not an unprimeable number, because it can be changed into a prime (97272683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 275384 + ... + 275736.

Almost surely, 297272680 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 97272680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111079890).

97272680 is an abundant number, since it is smaller than the sum of its proper divisors (124887100).

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

97272680 is a wasteful number, since it uses less digits than its factorization.

97272680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The square root of 97272680 is about 9862.6913162686. The cubic root of 97272680 is about 459.9002304104.

The spelling of 97272680 in words is "ninety-seven million, two hundred seventy-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 353 415 664 706 830 1412 1660 1765 2824 3320 3530 6889 7060 13778 14120 27556 29299 34445 55112 58598 68890 117196 137780 146495 234392 275560 292990 585980 1171960 2431817 4863634 9727268 12159085 19454536 24318170 48636340 97272680