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10051132 = 2271353521
BaseRepresentation
bin100110010101…
…111000111100
3200220122120011
4212111320330
510033114012
6555233004
7151301410
oct46257074
920818504
1010051132
115745623
123448764
13210bc20
141498d40
15d381a7
hex995e3c

10051132 has 48 divisors (see below), whose sum is σ = 22099392. Its totient is φ = 3893760.

The previous prime is 10051123. The next prime is 10051141. The reversal of 10051132 is 23115001.

It is an interprime number because it is at equal distance from previous prime (10051123) and next prime (10051141).

It is a Harshad number since it is a multiple of its sum of digits (13).

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 15 ways as a sum of consecutive naturals, for example, 19032 + ... + 19552.

It is an arithmetic number, because the mean of its divisors is an integer number (460404).

Almost surely, 210051132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10051132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11049696).

10051132 is an abundant number, since it is smaller than the sum of its proper divisors (12048260).

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

10051132 is a wasteful number, since it uses less digits than its factorization.

10051132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 10051132 is about 3170.3520309265. The cubic root of 10051132 is about 215.8100467647.

Adding to 10051132 its reverse (23115001), we get a palindrome (33166133).

The spelling of 10051132 in words is "ten million, fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 7 13 14 26 28 52 53 91 106 182 212 364 371 521 689 742 1042 1378 1484 2084 2756 3647 4823 6773 7294 9646 13546 14588 19292 27092 27613 47411 55226 94822 110452 189644 193291 358969 386582 717938 773164 1435876 2512783 5025566 10051132