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11882260 = 22513231987
BaseRepresentation
bin101101010100…
…111100010100
3211100200101201
4231110330110
511020213020
61102402244
7202666105
oct55247424
924320351
1011882260
116786355
123b90384
132600530
1418143ac
15109aa0a
hexb54f14

11882260 has 48 divisors (see below), whose sum is σ = 28054656. Its totient is φ = 4194432.

The previous prime is 11882219. The next prime is 11882261. The reversal of 11882260 is 6228811.

11882260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11882261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4987 + ... + 6973.

It is an arithmetic number, because the mean of its divisors is an integer number (584472).

Almost surely, 211882260 is an apocalyptic number.

11882260 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 11882260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14027328).

11882260 is an abundant number, since it is smaller than the sum of its proper divisors (16172396).

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

11882260 is a wasteful number, since it uses less digits than its factorization.

11882260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 11882260 is about 3447.0654185843. The cubic root of 11882260 is about 228.1916158740.

The spelling of 11882260 in words is "eleven million, eight hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 1987 2990 3974 5980 7948 9935 19870 25831 39740 45701 51662 91402 103324 129155 182804 228505 258310 457010 516620 594113 914020 1188226 2376452 2970565 5941130 11882260