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11538108 = 2232794057
BaseRepresentation
bin101100000000…
…111010111100
3210201012022100
4230000322330
510423204413
61051145100
7200033541
oct54007274
923635270
1011538108
11657082a
123a45190
13250c9aa
141764bc8
15102da73
hexb00ebc

11538108 has 36 divisors (see below), whose sum is σ = 29542240. Its totient is φ = 3796416.

The previous prime is 11538103. The next prime is 11538127. The reversal of 11538108 is 80183511.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11538101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 816 + ... + 4872.

Almost surely, 211538108 is an apocalyptic number.

11538108 is a gapful number since it is divisible by the number (18) 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 11538108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14771120).

11538108 is an abundant number, since it is smaller than the sum of its proper divisors (18004132).

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

11538108 is a wasteful number, since it uses less digits than its factorization.

11538108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4141 counting only the distinct ones).

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

The square root of 11538108 is about 3396.7790625827. The cubic root of 11538108 is about 225.9669202634.

It can be divided in two parts, 1153 and 8108, that added together give a cube (9261 = 213).

The spelling of 11538108 in words is "eleven million, five hundred thirty-eight thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2844 4057 8114 12171 16228 24342 36513 48684 73026 146052 320503 641006 961509 1282012 1923018 2884527 3846036 5769054 11538108