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10123520 = 28511719
BaseRepresentation
bin100110100111…
…100100000000
3201001022212012
4212213210000
510042423040
61000552052
7152022431
oct46474400
921038765
1010123520
115794a50
123482628
132135b64
1414b7488
15d4e865
hex9a7900

10123520 has 72 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 3676160.

The previous prime is 10123513. The next prime is 10123537. The reversal of 10123520 is 2532101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10123495 and 10123504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13721 + ... + 14439.

It is an arithmetic number, because the mean of its divisors is an integer number (367920).

Almost surely, 210123520 is an apocalyptic number.

10123520 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 10123520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13245120).

10123520 is an abundant number, since it is smaller than the sum of its proper divisors (16366720).

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

10123520 is an equidigital number, since it uses as much as digits as its factorization.

10123520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10123520 is about 3181.7479472768. The cubic root of 10123520 is about 216.3268941467.

Adding to 10123520 its reverse (2532101), we get a palindrome (12655621).

The spelling of 10123520 in words is "ten million, one hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 719 880 1280 1408 1438 1760 2816 2876 3520 3595 5752 7040 7190 7909 11504 14080 14380 15818 23008 28760 31636 39545 46016 57520 63272 79090 92032 115040 126544 158180 184064 230080 253088 316360 460160 506176 632720 920320 1012352 1265440 2024704 2530880 5061760 10123520