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11831130 = 2335291511
BaseRepresentation
bin101101001000…
…011101011010
3211021002021000
4231020131122
511012044010
61101325430
7202364043
oct55103532
924232230
1011831130
1167509a3
123b66876
1325b318c
1417dd8ca
15108a7c0
hexb4875a

11831130 has 64 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3044160.

The previous prime is 11831123. The next prime is 11831219. The reversal of 11831130 is 3113811.

It is a happy number.

11831130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7075 + ... + 8585.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 211831130 is an apocalyptic number.

11831130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11831130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

11831130 is an abundant number, since it is smaller than the sum of its proper divisors (20828070).

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

11831130 is a wasteful number, since it uses less digits than its factorization.

11831130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 11831130 is about 3439.6409696362. The cubic root of 11831130 is about 227.8638383680.

Adding to 11831130 its reverse (3113811), we get a palindrome (14944941).

It can be divided in two parts, 118311 and 30, that added together give a triangular number (118341 = T486).

The spelling of 11831130 in words is "eleven million, eight hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 435 522 783 870 1305 1511 1566 2610 3022 3915 4533 7555 7830 9066 13599 15110 22665 27198 40797 43819 45330 67995 81594 87638 131457 135990 203985 219095 262914 394371 407970 438190 657285 788742 1183113 1314570 1971855 2366226 3943710 5915565 11831130