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97520 = 2452353
BaseRepresentation
bin10111110011110000
311221202212
4113303300
511110040
62031252
7554213
oct276360
9157685
1097520
11672a5
1248528
1335507
142777a
151dd65
hex17cf0

97520 has 40 divisors (see below), whose sum is σ = 241056. Its totient is φ = 36608.

The previous prime is 97511. The next prime is 97523. The reversal of 97520 is 2579.

97520 = T195 + T196 + ... + T199.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 97520.

It is not an unprimeable number, because it can be changed into a prime (97523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1814 + ... + 1866.

297520 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 97520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120528).

97520 is an abundant number, since it is smaller than the sum of its proper divisors (143536).

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

97520 is a wasteful number, since it uses less digits than its factorization.

97520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 97520 is about 312.2819239085. The cubic root of 97520 is about 46.0289672621.

The spelling of 97520 in words is "ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 53 80 92 106 115 184 212 230 265 368 424 460 530 848 920 1060 1219 1840 2120 2438 4240 4876 6095 9752 12190 19504 24380 48760 97520