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97000560 = 24325199677
BaseRepresentation
bin1011100100000…
…01110001110000
320202112010202100
411302001301300
5144313004220
613343020400
72255330316
oct562016160
9222463670
1097000560
114a832a58
122859a700
13171334a7
14cc500b6
1587b0d90
hex5c81c70

97000560 has 120 divisors (see below), whose sum is σ = 327880800. Its totient is φ = 25698816.

The previous prime is 97000537. The next prime is 97000571. The reversal of 97000560 is 6500079.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 142942 + ... + 143618.

It is an arithmetic number, because the mean of its divisors is an integer number (2732340).

Almost surely, 297000560 is an apocalyptic number.

97000560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97000560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163940400).

97000560 is an abundant number, since it is smaller than the sum of its proper divisors (230880240).

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

97000560 is a wasteful number, since it uses less digits than its factorization.

97000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 97000560 is about 9848.8862314477. The cubic root of 97000560 is about 459.4709734226.

The spelling of 97000560 in words is "ninety-seven million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 199 240 360 398 597 677 720 796 995 1194 1354 1592 1791 1990 2031 2388 2708 2985 3184 3385 3582 3980 4062 4776 5416 5970 6093 6770 7164 7960 8124 8955 9552 10155 10832 11940 12186 13540 14328 15920 16248 17910 20310 23880 24372 27080 28656 30465 32496 35820 40620 47760 48744 54160 60930 71640 81240 97488 121860 134723 143280 162480 243720 269446 404169 487440 538892 673615 808338 1077784 1212507 1347230 1616676 2020845 2155568 2425014 2694460 3233352 4041690 4850028 5388920 6062535 6466704 8083380 9700056 10777840 12125070 16166760 19400112 24250140 32333520 48500280 97000560