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10427520 = 27355431
BaseRepresentation
bin100111110001…
…110010000000
3201121202212110
4213301302000
510132140040
61011255320
7154426635
oct47616200
921552773
1010427520
115982394
1235aa540
13221133c
14155618c
15dae980
hex9f1c80

10427520 has 64 divisors (see below), whose sum is σ = 33243840. Its totient is φ = 2780160.

The previous prime is 10427513. The next prime is 10427537. The reversal of 10427520 is 2572401.

It is a tau number, because it is divible by the number of its divisors (64).

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, 796 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (519435).

Almost surely, 210427520 is an apocalyptic number.

10427520 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 10427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621920).

10427520 is an abundant number, since it is smaller than the sum of its proper divisors (22816320).

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

10427520 is an equidigital number, since it uses as much as digits as its factorization.

10427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5453 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 10427520 is about 3229.1670752688. The cubic root of 10427520 is about 218.4709399359.

Adding to 10427520 its reverse (2572401), we get a palindrome (12999921).

The spelling of 10427520 in words is "ten million, four hundred twenty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 5431 10862 16293 21724 27155 32586 43448 54310 65172 81465 86896 108620 130344 162930 173792 217240 260688 325860 347584 434480 521376 651720 695168 868960 1042752 1303440 1737920 2085504 2606880 3475840 5213760 10427520