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10525120 = 265311061
BaseRepresentation
bin101000001001…
…100111000000
3201210201202021
4220021213000
510143300440
61013331224
7155314324
oct50114700
921721667
1010525120
115a39751
123636b14
1322468a8
14157d984
15dcd84a
hexa099c0

10525120 has 56 divisors (see below), whose sum is σ = 25895808. Its totient is φ = 4070400.

The previous prime is 10525117. The next prime is 10525121. The reversal of 10525120 is 2152501.

It is a super-2 number, since 2×105251202 = 221556302028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10525094 and 10525103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10525121) 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, 9390 + ... + 10450.

Almost surely, 210525120 is an apocalyptic number.

10525120 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 10525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947904).

10525120 is an abundant number, since it is smaller than the sum of its proper divisors (15370688).

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

10525120 is a wasteful number, since it uses less digits than its factorization.

10525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 10525120 is about 3244.2441338469. The cubic root of 10525120 is about 219.1504425591.

Adding to 10525120 its reverse (2152501), we get a palindrome (12677621).

The spelling of 10525120 in words is "ten million, five hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1061 1240 1984 2122 2480 4244 4960 5305 8488 9920 10610 16976 21220 32891 33952 42440 65782 67904 84880 131564 164455 169760 263128 328910 339520 526256 657820 1052512 1315640 2105024 2631280 5262560 10525120