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10980792 = 2333291753
BaseRepresentation
bin101001111000…
…110110111000
3202122212211000
4221320312320
510302341132
61031205000
7162222654
oct51706670
922585730
1010980792
116220039
123816760
132376114
14165ba64
15e6d87c
hexa78db8

10980792 has 64 divisors (see below), whose sum is σ = 31572000. Its totient is φ = 3532032.

The previous prime is 10980791. The next prime is 10980799. The reversal of 10980792 is 29708901.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10980791) by changing a digit.

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, 5388 + ... + 7140.

Almost surely, 210980792 is an apocalyptic number.

10980792 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 10980792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15786000).

10980792 is an abundant number, since it is smaller than the sum of its proper divisors (20591208).

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

10980792 is a wasteful number, since it uses less digits than its factorization.

10980792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 10980792 is about 3313.7278101860. The cubic root of 10980792 is about 222.2684845166.

The spelling of 10980792 in words is "ten million, nine hundred eighty thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 1753 2088 3132 3506 5259 6264 7012 10518 14024 15777 21036 31554 42072 47331 50837 63108 94662 101674 126216 152511 189324 203348 305022 378648 406696 457533 610044 915066 1220088 1372599 1830132 2745198 3660264 5490396 10980792