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97023564 = 223211491499
BaseRepresentation
bin1011100100001…
…11011001001100
320202120022022100
411302013121030
5144314223224
613343315100
72255454351
oct562073114
9222508270
1097023564
114a849270
12285aba90
1317140ac1
14cc58628
1587b7ac9
hex5c8764c

97023564 has 72 divisors (see below), whose sum is σ = 268632000. Its totient is φ = 29282400.

The previous prime is 97023547. The next prime is 97023581. The reversal of 97023564 is 46532079.

97023564 is a `hidden beast` number, since 9 + 70 + 23 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (97023547) and next prime (97023581).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194187 + ... + 194685.

It is an arithmetic number, because the mean of its divisors is an integer number (3731000).

Almost surely, 297023564 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 97023564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134316000).

97023564 is an abundant number, since it is smaller than the sum of its proper divisors (171608436).

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

97023564 is a wasteful number, since it uses less digits than its factorization.

97023564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 97023564 is about 9850.0540100042. The cubic root of 97023564 is about 459.5072922330.

It can be divided in two parts, 970235 and 64, that added together give a cube (970299 = 993).

The spelling of 97023564 in words is "ninety-seven million, twenty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 491 499 982 998 1473 1497 1964 1996 2946 2994 4419 4491 5401 5489 5892 5988 8838 8982 10802 10978 16203 16467 17676 17964 21604 21956 32406 32934 48609 49401 64812 65868 97218 98802 194436 197604 245009 490018 735027 980036 1470054 2205081 2695099 2940108 4410162 5390198 8085297 8820324 10780396 16170594 24255891 32341188 48511782 97023564