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10525520 = 245413209
BaseRepresentation
bin101000001001…
…101101010000
3201210202022002
4220021231100
510143304040
61013333132
7155315435
oct50115520
921722262
1010525520
115a39a85
1236371a8
132246b25
14157db8c
15dcda15
hexa09b50

10525520 has 40 divisors (see below), whose sum is σ = 25076520. Its totient is φ = 4106240.

The previous prime is 10525517. The next prime is 10525547. The reversal of 10525520 is 2552501.

It can be written as a sum of positive squares in 4 ways, for example, as 53824 + 10471696 = 232^2 + 3236^2 .

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

It is a super-2 number, since 2×105255202 = 221573142540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10525492 and 10525501.

It is a congruent number.

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, 1676 + ... + 4884.

It is an arithmetic number, because the mean of its divisors is an integer number (626913).

Almost surely, 210525520 is an apocalyptic number.

10525520 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 10525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12538260).

10525520 is an abundant number, since it is smaller than the sum of its proper divisors (14551000).

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

10525520 is a wasteful number, since it uses less digits than its factorization.

10525520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 10525520 is about 3244.3057809029. The cubic root of 10525520 is about 219.1532187450.

The spelling of 10525520 in words is "ten million, five hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3209 3280 6418 12836 16045 25672 32090 51344 64180 128360 131569 256720 263138 526276 657845 1052552 1315690 2105104 2631380 5262760 10525520