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10436980 = 2251730697
BaseRepresentation
bin100111110100…
…000101110100
3201122020211211
4213310011310
510132440410
61011411204
7154466341
oct47640564
921566754
1010436980
115989504
1235b3b04
132215738
1415597c8
15db268a
hex9f4174

10436980 has 24 divisors (see below), whose sum is σ = 23207688. Its totient is φ = 3929088.

The previous prime is 10436977. The next prime is 10436981. The reversal of 10436980 is 8963401.

10436980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 9909904 = 726^2 + 3148^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10436981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15009 + ... + 15688.

It is an arithmetic number, because the mean of its divisors is an integer number (966987).

Almost surely, 210436980 is an apocalyptic number.

10436980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10436980 is an abundant number, since it is smaller than the sum of its proper divisors (12770708).

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

10436980 is a wasteful number, since it uses less digits than its factorization.

10436980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30723 (or 30721 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10436980 is about 3230.6315172115. The cubic root of 10436980 is about 218.5369866538.

The spelling of 10436980 in words is "ten million, four hundred thirty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 30697 61394 122788 153485 306970 521849 613940 1043698 2087396 2609245 5218490 10436980