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10570240 = 2954129
BaseRepresentation
bin101000010100…
…101000000000
3201220000122101
4220110220000
510201221430
61014320144
7155563012
oct50245000
921800571
1010570240
115a6a63a
123659054
1322612a5
1415921b2
15ddbdca
hexa14a00

10570240 has 40 divisors (see below), whose sum is σ = 25349940. Its totient is φ = 4227072.

The previous prime is 10570237. The next prime is 10570247. The reversal of 10570240 is 4207501.

It can be written as a sum of positive squares in 2 ways, for example, as 10549504 + 20736 = 3248^2 + 144^2 .

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

It is a super-2 number, since 2×105702402 = 223459947315200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10570247) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 496 + ... + 4624.

Almost surely, 210570240 is an apocalyptic number.

10570240 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 10570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12674970).

10570240 is an abundant number, since it is smaller than the sum of its proper divisors (14779700).

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

10570240 is an frugal number, since it uses more digits than its factorization.

10570240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 10570240 is about 3251.1905511674. The cubic root of 10570240 is about 219.4631538583.

Adding to 10570240 its reverse (4207501), we get a palindrome (14777741).

The spelling of 10570240 in words is "ten million, five hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 4129 8258 16516 20645 33032 41290 66064 82580 132128 165160 264256 330320 528512 660640 1057024 1321280 2114048 2642560 5285120 10570240