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10545732 = 2232457641
BaseRepresentation
bin101000001110…
…101001000100
3201211210000200
4220032221010
510144430412
61014010500
7155431401
oct50165104
921753020
1010545732
115a5318a
123646a30
1322530a2
1415872a8
15dd49dc
hexa0ea44

10545732 has 36 divisors (see below), whose sum is σ = 26757276. Its totient is φ = 3502080.

The previous prime is 10545727. The next prime is 10545737. The reversal of 10545732 is 23754501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10545727) and next prime (10545737).

It can be written as a sum of positive squares in 2 ways, for example, as 9326916 + 1218816 = 3054^2 + 1104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105457322 = 222424926831648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10545696 and 10545705.

It is not an unprimeable number, because it can be changed into a prime (10545737) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16132 + ... + 16772.

Almost surely, 210545732 is an apocalyptic number.

10545732 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10545732 is an abundant number, since it is smaller than the sum of its proper divisors (16211544).

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

10545732 is a wasteful number, since it uses less digits than its factorization.

10545732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 10545732 is about 3247.4192830616. The cubic root of 10545732 is about 219.2934079410.

It can be divided in two parts, 1054 and 5732, that added together give a triangular number (6786 = T116).

The spelling of 10545732 in words is "ten million, five hundred forty-five thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 457 641 914 1282 1371 1828 1923 2564 2742 3846 4113 5484 5769 7692 8226 11538 16452 23076 292937 585874 878811 1171748 1757622 2636433 3515244 5272866 10545732