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97002680 = 23517294919
BaseRepresentation
bin1011100100000…
…10010010111000
320202112020122212
411302002102320
5144313041210
613343034252
72255336435
oct562022270
9222466585
1097002680
114a834605
122859b988
1317134448
14cc50b8c
1587b1805
hex5c824b8

97002680 has 64 divisors (see below), whose sum is σ = 239112000. Its totient is φ = 35252224.

The previous prime is 97002673. The next prime is 97002683. The reversal of 97002680 is 8620079.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97002683) 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 15 ways as a sum of consecutive naturals, for example, 17261 + ... + 22179.

It is an arithmetic number, because the mean of its divisors is an integer number (3736125).

Almost surely, 297002680 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 97002680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119556000).

97002680 is an abundant number, since it is smaller than the sum of its proper divisors (142109320).

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

97002680 is a wasteful number, since it uses less digits than its factorization.

97002680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4976 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 97002680 is about 9848.9938572425. The cubic root of 97002680 is about 459.4743207276.

The spelling of 97002680 in words is "ninety-seven million, two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 680 986 1160 1972 2465 3944 4919 4930 9838 9860 19676 19720 24595 39352 49190 83623 98380 142651 167246 196760 285302 334492 418115 570604 668984 713255 836230 1141208 1426510 1672460 2425067 2853020 3344920 4850134 5706040 9700268 12125335 19400536 24250670 48501340 97002680