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97642320 = 2435419923
BaseRepresentation
bin1011101000111…
…10011101010000
320210201202002020
411310132131100
5144444023240
613404451440
72263642326
oct564363520
9223652066
1097642320
1150131136
1228849b80
13172c9629
14cd79d16
15888b0d0
hex5d1e750

97642320 has 80 divisors (see below), whose sum is σ = 310105152. Its totient is φ = 25400320.

The previous prime is 97642313. The next prime is 97642393. The reversal of 97642320 is 2324679.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4879 + ... + 14801.

Almost surely, 297642320 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 97642320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155052576).

97642320 is an abundant number, since it is smaller than the sum of its proper divisors (212462832).

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

97642320 is a wasteful number, since it uses less digits than its factorization.

97642320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9980 (or 9974 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 97642320 is about 9881.4128544455. The cubic root of 97642320 is about 460.4820403705.

Adding to 97642320 its reverse (2324679), we get a palindrome (99966999).

The spelling of 97642320 in words is "ninety-seven million, six hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 9923 19846 29769 39692 49615 59538 79384 99230 119076 148845 158768 198460 238152 297690 396920 406843 476304 595380 793840 813686 1190760 1220529 1627372 2034215 2381520 2441058 3254744 4068430 4882116 6102645 6509488 8136860 9764232 12205290 16273720 19528464 24410580 32547440 48821160 97642320