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10587040 = 25566169
BaseRepresentation
bin101000011000…
…101110100000
3201220212200121
4220120232200
510202241130
61014530024
7155663002
oct50305640
921825617
1010587040
115a81222
123666914
132268b29
141598372
15de1d7a
hexa18ba0

10587040 has 24 divisors (see below), whose sum is σ = 25012260. Its totient is φ = 4234752.

The previous prime is 10587037. The next prime is 10587043. The reversal of 10587040 is 4078501.

It is an interprime number because it is at equal distance from previous prime (10587037) and next prime (10587043).

It can be written as a sum of positive squares in 2 ways, for example, as 10523536 + 63504 = 3244^2 + 252^2 .

It is a super-2 number, since 2×105870402 = 224170831923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10586996 and 10587014.

It is not an unprimeable number, because it can be changed into a prime (10587043) 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, 32925 + ... + 33244.

Almost surely, 210587040 is an apocalyptic number.

10587040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10587040 is an abundant number, since it is smaller than the sum of its proper divisors (14425220).

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

10587040 is an equidigital number, since it uses as much as digits as its factorization.

10587040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66184 (or 66176 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 10587040 is about 3253.7731943084. The cubic root of 10587040 is about 219.5793615441.

The spelling of 10587040 in words is "ten million, five hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 66169 132338 264676 330845 529352 661690 1058704 1323380 2117408 2646760 5293520 10587040