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11274180 = 2235414583
BaseRepresentation
bin101011000000…
…011111000100
3210012210021020
4223000133010
510341233210
61041351140
7164554221
oct53003704
923183236
1011274180
116400505
1239384b0
132449818
1416d6948
15eca770
hexac07c4

11274180 has 48 divisors (see below), whose sum is σ = 32344704. Its totient is φ = 2932480.

The previous prime is 11274149. The next prime is 11274181. The reversal of 11274180 is 8147211.

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11274180.

It is not an unprimeable number, because it can be changed into a prime (11274181) 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, 169 + ... + 4751.

It is an arithmetic number, because the mean of its divisors is an integer number (673848).

Almost surely, 211274180 is an apocalyptic number.

11274180 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 11274180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172352).

11274180 is an abundant number, since it is smaller than the sum of its proper divisors (21070524).

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

11274180 is a wasteful number, since it uses less digits than its factorization.

11274180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4636 (or 4634 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 11274180 is about 3357.7045730677. The cubic root of 11274180 is about 224.2306563281.

The spelling of 11274180 in words is "eleven million, two hundred seventy-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 4583 9166 13749 18332 22915 27498 45830 54996 68745 91660 137490 187903 274980 375806 563709 751612 939515 1127418 1879030 2254836 2818545 3758060 5637090 11274180