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10825460 = 2253714629
BaseRepresentation
bin101001010010…
…111011110100
3202100222201222
4221102323310
510232403320
61024005512
7161005052
oct51227364
922328658
1010825460
116124368
123760898
1323204c9
14161b1d2
15e3c825
hexa52ef4

10825460 has 24 divisors (see below), whose sum is σ = 23349480. Its totient is φ = 4212864.

The previous prime is 10825457. The next prime is 10825489. The reversal of 10825460 is 6452801.

It can be written as a sum of positive squares in 4 ways, for example, as 1449616 + 9375844 = 1204^2 + 3062^2 .

It is a super-4 number, since 4×108254604 (a number of 29 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6575 + ... + 8054.

It is an arithmetic number, because the mean of its divisors is an integer number (972895).

Almost surely, 210825460 is an apocalyptic number.

10825460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10825460 is an abundant number, since it is smaller than the sum of its proper divisors (12524020).

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

10825460 is a wasteful number, since it uses less digits than its factorization.

10825460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14675 (or 14673 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 10825460 is about 3290.2066804382. The cubic root of 10825460 is about 221.2154488696.

The spelling of 10825460 in words is "ten million, eight hundred twenty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 14629 29258 58516 73145 146290 292580 541273 1082546 2165092 2706365 5412730 10825460