Search a number
-
+
97253520 = 24357136173
BaseRepresentation
bin1011100101111…
…11100010010000
320202222222202020
411302333202100
5144344103040
613352251440
72260432650
oct562774220
9222888666
1097253520
114a996011
12286a0b80
13171c1680
14ccb8360
158810cd0
hex5cbf890

97253520 has 320 divisors, whose sum is σ = 382308864. Its totient is φ = 19906560.

The previous prime is 97253509. The next prime is 97253531. The reversal of 97253520 is 2535279.

It is an interprime number because it is at equal distance from previous prime (97253509) and next prime (97253531).

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1332204 + ... + 1332276.

Almost surely, 297253520 is an apocalyptic number.

97253520 is the 5694-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97253520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191154432).

97253520 is an abundant number, since it is smaller than the sum of its proper divisors (285055344).

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

97253520 is a wasteful number, since it uses less digits than its factorization.

97253520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 97253520 is about 9861.7199311276. The cubic root of 97253520 is about 459.8700325959.

Adding to 97253520 its reverse (2535279), we get a palindrome (99788799).

The spelling of 97253520 in words is "ninety-seven million, two hundred fifty-three thousand, five hundred twenty".