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97036080 = 24352317579
BaseRepresentation
bin1011100100010…
…10011100110000
320202120221110220
411302022130300
5144320123310
613343453040
72255536011
oct562123460
9222527426
1097036080
114a857709
12285b7180
13171466cb
14cc5d008
1587bb670
hex5c8a730

97036080 has 80 divisors (see below), whose sum is σ = 313908480. Its totient is φ = 24749824.

The previous prime is 97036067. The next prime is 97036081. The reversal of 97036080 is 8063079.

97036080 = 20432 + 20442 + ... + 20652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (97036081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3270 + ... + 14309.

It is an arithmetic number, because the mean of its divisors is an integer number (3923856).

Almost surely, 297036080 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 97036080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156954240).

97036080 is an abundant number, since it is smaller than the sum of its proper divisors (216872400).

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

97036080 is a wasteful number, since it uses less digits than its factorization.

97036080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17618 (or 17612 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 97036080 is about 9850.6893159819. The cubic root of 97036080 is about 459.5270501342.

The spelling of 97036080 in words is "ninety-seven million, thirty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 17579 35158 52737 70316 87895 105474 140632 175790 210948 263685 281264 351580 404317 421896 527370 703160 808634 843792 1054740 1212951 1406320 1617268 2021585 2109480 2425902 3234536 4043170 4218960 4851804 6064755 6469072 8086340 9703608 12129510 16172680 19407216 24259020 32345360 48518040 97036080