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11885130 = 23556773
BaseRepresentation
bin101101010101…
…101001001010
3211100211100000
4231111221022
511020311010
61102423430
7203010345
oct55255112
924324300
1011885130
116788524
123b91b76
13260192a
14181545c
15109b7c0
hexb55a4a

11885130 has 96 divisors (see below), whose sum is σ = 32969664. Its totient is φ = 3079296.

The previous prime is 11885129. The next prime is 11885143. The reversal of 11885130 is 3158811.

11885130 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 11885094 and 11885103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162774 + ... + 162846.

It is an arithmetic number, because the mean of its divisors is an integer number (343434).

Almost surely, 211885130 is an apocalyptic number.

11885130 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 11885130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16484832).

11885130 is an abundant number, since it is smaller than the sum of its proper divisors (21084534).

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

11885130 is an equidigital number, since it uses as much as digits as its factorization.

11885130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 11885130 is about 3447.4816895815. The cubic root of 11885130 is about 228.2099865997.

The spelling of 11885130 in words is "eleven million, eight hundred eighty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 67 73 81 90 134 135 146 162 201 219 243 270 335 365 402 405 438 486 603 657 670 730 810 1005 1095 1206 1215 1314 1809 1971 2010 2190 2430 3015 3285 3618 3942 4891 5427 5913 6030 6570 9045 9782 9855 10854 11826 14673 16281 17739 18090 19710 24455 27135 29346 29565 32562 35478 44019 48910 54270 59130 73365 81405 88038 88695 132057 146730 162810 177390 220095 264114 396171 440190 660285 792342 1188513 1320570 1980855 2377026 3961710 5942565 11885130