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10641320 = 2351715649
BaseRepresentation
bin101000100101…
…111110101000
3202000122010222
4220211332220
510211010240
61020025212
7156310154
oct50457650
922018128
1010641320
116008a88
123692208
132287751
1415b0064
15e02eb5
hexa25fa8

10641320 has 32 divisors (see below), whose sum is σ = 25353000. Its totient is φ = 4005888.

The previous prime is 10641313. The next prime is 10641329. The reversal of 10641320 is 2314601.

10641320 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 8213956 + 2427364 = 2866^2 + 1558^2 .

It is a super-2 number, since 2×106413202 = 226475382684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10641329) 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, 7145 + ... + 8504.

Almost surely, 210641320 is an apocalyptic number.

10641320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10641320 is an abundant number, since it is smaller than the sum of its proper divisors (14711680).

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

10641320 is a wasteful number, since it uses less digits than its factorization.

10641320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15677 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10641320 is about 3262.1036157670. The cubic root of 10641320 is about 219.9539848665.

Adding to 10641320 its reverse (2314601), we get a palindrome (12955921).

The spelling of 10641320 in words is "ten million, six hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 15649 31298 62596 78245 125192 156490 266033 312980 532066 625960 1064132 1330165 2128264 2660330 5320660 10641320