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10507460 = 225525373
BaseRepresentation
bin101000000101…
…010011000100
3201202211112012
4220011103010
510142214320
61013113352
7155211665
oct50052304
921684465
1010507460
115a27457
123628858
13223b842
14157736c
15dc84c5
hexa054c4

10507460 has 12 divisors (see below), whose sum is σ = 22065708. Its totient is φ = 4202976.

The previous prime is 10507459. The next prime is 10507463. The reversal of 10507460 is 6470501.

It can be written as a sum of positive squares in 2 ways, for example, as 1119364 + 9388096 = 1058^2 + 3064^2 .

It is a super-2 number, since 2×105074602 = 220813431303200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10507463) 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, 262667 + ... + 262706.

It is an arithmetic number, because the mean of its divisors is an integer number (1838809).

Almost surely, 210507460 is an apocalyptic number.

10507460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10507460 is an abundant number, since it is smaller than the sum of its proper divisors (11558248).

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

10507460 is a wasteful number, since it uses less digits than its factorization.

10507460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525382 (or 525380 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10507460 is about 3241.5212478094. The cubic root of 10507460 is about 219.0278037856.

Adding to 10507460 its reverse (6470501), we get a palindrome (16977961).

The spelling of 10507460 in words is "ten million, five hundred seven thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 525373 1050746 2101492 2626865 5253730 10507460