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10232520 = 2335711201
BaseRepresentation
bin100111000010…
…001011001000
3201020212101020
4213002023020
510104420040
61003152440
7152655264
oct47021310
921225336
1010232520
115859931
123515720
13217365c
1415050a4
15d71cd0
hex9c22c8

10232520 has 64 divisors (see below), whose sum is σ = 31155840. Its totient is φ = 2688000.

The previous prime is 10232513. The next prime is 10232527. The reversal of 10232520 is 2523201.

It is an interprime number because it is at equal distance from previous prime (10232513) and next prime (10232527).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10232520.

It is not an unprimeable number, because it can be changed into a prime (10232527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7920 + ... + 9120.

It is an arithmetic number, because the mean of its divisors is an integer number (486810).

Almost surely, 210232520 is an apocalyptic number.

10232520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577920).

10232520 is an abundant number, since it is smaller than the sum of its proper divisors (20923320).

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

10232520 is a wasteful number, since it uses less digits than its factorization.

10232520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10232520 is about 3198.8310364882. The cubic root of 10232520 is about 217.1005218548.

Adding to 10232520 its reverse (2523201), we get a palindrome (12755721).

The spelling of 10232520 in words is "ten million, two hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1201 1420 1704 2130 2402 2840 3603 4260 4804 6005 7206 8520 9608 12010 14412 18015 24020 28824 36030 48040 72060 85271 144120 170542 255813 341084 426355 511626 682168 852710 1023252 1279065 1705420 2046504 2558130 3410840 5116260 10232520