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11145900 = 2235253701
BaseRepresentation
bin101010100001…
…001010101100
3202222021022010
4222201022230
510323132100
61034521220
7163511223
oct52411254
922867263
1011145900
116323097
123896210
13240330c
1416a1cba
15ea2750
hexaa12ac

11145900 has 72 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 2912000.

The previous prime is 11145899. The next prime is 11145907. The reversal of 11145900 is 954111.

It is not an unprimeable number, because it can be changed into a prime (11145907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15550 + ... + 16250.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 211145900 is an apocalyptic number.

11145900 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 11145900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

11145900 is an abundant number, since it is smaller than the sum of its proper divisors (21758244).

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

11145900 is a wasteful number, since it uses less digits than its factorization.

11145900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 11145900 is about 3338.5475883983. The cubic root of 11145900 is about 223.3769623434.

The spelling of 11145900 in words is "eleven million, one hundred forty-five thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 701 795 1060 1325 1402 1590 2103 2650 2804 3180 3505 3975 4206 5300 7010 7950 8412 10515 14020 15900 17525 21030 35050 37153 42060 52575 70100 74306 105150 111459 148612 185765 210300 222918 371530 445836 557295 743060 928825 1114590 1857650 2229180 2786475 3715300 5572950 11145900