Search a number
-
+
97300056 = 23374313469
BaseRepresentation
bin1011100110010…
…10111001011000
320210002100120210
411303022321120
5144402100211
613353251120
72261015430
oct563127130
9223070523
1097300056
114aa17a77
1228703aa0
13172098c9
14cccb2c0
15881e9a6
hex5ccae58

97300056 has 64 divisors (see below), whose sum is σ = 284486400. Its totient is φ = 27151488.

The previous prime is 97300019. The next prime is 97300081. The reversal of 97300056 is 65000379.

It is a junction number, because it is equal to n+sod(n) for n = 97299996 and 97300032.

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, 490 + ... + 13958.

It is an arithmetic number, because the mean of its divisors is an integer number (4445100).

Almost surely, 297300056 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 97300056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142243200).

97300056 is an abundant number, since it is smaller than the sum of its proper divisors (187186344).

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

97300056 is a wasteful number, since it uses less digits than its factorization.

97300056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13528 (or 13524 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 97300056 is about 9864.0790751088. The cubic root of 97300056 is about 459.9433704705.

The spelling of 97300056 in words is "ninety-seven million, three hundred thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 13469 26938 40407 53876 80814 94283 107752 161628 188566 282849 323256 377132 565698 579167 754264 1131396 1158334 1737501 2262792 2316668 3475002 4054169 4633336 6950004 8108338 12162507 13900008 16216676 24325014 32433352 48650028 97300056