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10557492 = 223113661
BaseRepresentation
bin101000010001…
…100000110100
3201212101011020
4220101200310
510200314432
61014141140
7155510601
oct50214064
921771136
1010557492
115a61000
1236517b0
13225854a
14158b6a8
15dd822c
hexa11834

10557492 has 48 divisors (see below), whose sum is σ = 27136704. Its totient is φ = 3194400.

The previous prime is 10557473. The next prime is 10557497. The reversal of 10557492 is 29475501.

It is a super-2 number, since 2×105574922 = 222921274660128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10557497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15642 + ... + 16302.

It is an arithmetic number, because the mean of its divisors is an integer number (565348).

Almost surely, 210557492 is an apocalyptic number.

10557492 is a gapful number since it is divisible by the number (12) 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 10557492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568352).

10557492 is an abundant number, since it is smaller than the sum of its proper divisors (16579212).

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

10557492 is a wasteful number, since it uses less digits than its factorization.

10557492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 10557492 is about 3249.2294471151. The cubic root of 10557492 is about 219.3748921680.

The spelling of 10557492 in words is "ten million, five hundred fifty-seven thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 661 726 1322 1331 1452 1983 2644 2662 3966 3993 5324 7271 7932 7986 14542 15972 21813 29084 43626 79981 87252 159962 239943 319924 479886 879791 959772 1759582 2639373 3519164 5278746 10557492