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10115300 = 22521331251
BaseRepresentation
bin100110100101…
…100011100100
3201000220120202
4212211203210
510042142200
61000450032
7151656446
oct46454344
921026522
1010115300
115789858
123479918
1321321b0
1414b4496
15d4c1d5
hex9a58e4

10115300 has 72 divisors (see below), whose sum is σ = 24498432. Its totient is φ = 3600000.

The previous prime is 10115297. The next prime is 10115327. The reversal of 10115300 is 351101.

10115300 = T149 + T150 + ... + T399.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40175 + ... + 40425.

It is an arithmetic number, because the mean of its divisors is an integer number (340256).

Almost surely, 210115300 is an apocalyptic number.

10115300 is a gapful number since it is divisible by the number (10) 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 10115300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249216).

10115300 is an abundant number, since it is smaller than the sum of its proper divisors (14383132).

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

10115300 is a wasteful number, since it uses less digits than its factorization.

10115300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 10115300 is about 3180.4559421567. The cubic root of 10115300 is about 216.2683279375.

Adding to 10115300 its reverse (351101), we get a palindrome (10466401).

The spelling of 10115300 in words is "ten million, one hundred fifteen thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 251 260 310 325 403 502 620 650 775 806 1004 1255 1300 1550 1612 2015 2510 3100 3263 4030 5020 6275 6526 7781 8060 10075 12550 13052 15562 16315 20150 25100 31124 32630 38905 40300 65260 77810 81575 101153 155620 163150 194525 202306 326300 389050 404612 505765 778100 1011530 2023060 2528825 5057650 10115300