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11356830 = 2325257491
BaseRepresentation
bin101011010100…
…101010011110
3210100222122100
4223110222132
510401404310
61043225530
7165350202
oct53245236
923328570
1011356830
116457611
1239782a6
132478324
141718b02
15ee4ec0
hexad4a9e

11356830 has 48 divisors (see below), whose sum is σ = 29703024. Its totient is φ = 3010560.

The previous prime is 11356811. The next prime is 11356831. The reversal of 11356830 is 3865311.

It is a junction number, because it is equal to n+sod(n) for n = 11356794 and 11356803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11356831) 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 23 ways as a sum of consecutive naturals, for example, 22885 + ... + 23375.

It is an arithmetic number, because the mean of its divisors is an integer number (618813).

Almost surely, 211356830 is an apocalyptic number.

11356830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11356830 is an abundant number, since it is smaller than the sum of its proper divisors (18346194).

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

11356830 is a wasteful number, since it uses less digits than its factorization.

11356830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11356830 is about 3369.9896142273. The cubic root of 11356830 is about 224.7772610536. Note that the first 3 decimals are identical.

The spelling of 11356830 in words is "eleven million, three hundred fifty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 257 491 514 771 982 1285 1473 1542 2313 2455 2570 2946 3855 4419 4626 4910 7365 7710 8838 11565 14730 22095 23130 44190 126187 252374 378561 630935 757122 1135683 1261870 1892805 2271366 3785610 5678415 11356830