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10525440 = 28352741
BaseRepresentation
bin101000001001…
…101100000000
3201210202012010
4220021230000
510143303230
61013332520
7155315262
oct50115400
921722163
1010525440
115a39a12
123637140
132246a93
14157db32
15dcd9b0
hexa09b00

10525440 has 72 divisors (see below), whose sum is σ = 33627888. Its totient is φ = 2805760.

The previous prime is 10525433. The next prime is 10525447. The reversal of 10525440 is 4452501.

It is an interprime number because it is at equal distance from previous prime (10525433) and next prime (10525447).

It is a super-2 number, since 2×105254402 = 221569774387200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10525447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2470 + ... + 5210.

It is an arithmetic number, because the mean of its divisors is an integer number (467054).

Almost surely, 210525440 is an apocalyptic number.

10525440 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 10525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813944).

10525440 is an abundant number, since it is smaller than the sum of its proper divisors (23102448).

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

10525440 is an equidigital number, since it uses as much as digits as its factorization.

10525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 10525440 is about 3244.2934515854. The cubic root of 10525440 is about 219.1526635134.

Adding to 10525440 its reverse (4452501), we get a palindrome (14977941).

The spelling of 10525440 in words is "ten million, five hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 2741 3840 5482 8223 10964 13705 16446 21928 27410 32892 41115 43856 54820 65784 82230 87712 109640 131568 164460 175424 219280 263136 328920 350848 438560 526272 657840 701696 877120 1052544 1315680 1754240 2105088 2631360 3508480 5262720 10525440