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10522872 = 23355413
BaseRepresentation
bin101000001001…
…000011111000
3201210121200000
4220021003320
510143212442
61013313000
7155304633
oct50110370
921717600
1010522872
115a37a98
123635760
132245869
14157cc1a
15dccd4c
hexa090f8

10522872 has 48 divisors (see below), whose sum is σ = 29560440. Its totient is φ = 3506976.

The previous prime is 10522871. The next prime is 10522907. The reversal of 10522872 is 27822501.

It is a super-2 number, since 2×105228722 = 221461670256768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10522871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 763 + ... + 4650.

Almost surely, 210522872 is an apocalyptic number.

10522872 is a gapful number since it is divisible by the number (12) 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 10522872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780220).

10522872 is an abundant number, since it is smaller than the sum of its proper divisors (19037568).

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

10522872 is an equidigital number, since it uses as much as digits as its factorization.

10522872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10522872 is about 3243.8976555989. The cubic root of 10522872 is about 219.1348390863.

The spelling of 10522872 in words is "ten million, five hundred twenty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 5413 10826 16239 21652 32478 43304 48717 64956 97434 129912 146151 194868 292302 389736 438453 584604 876906 1169208 1315359 1753812 2630718 3507624 5261436 10522872