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11277252 = 2233722131
BaseRepresentation
bin101011000001…
…001111000100
3210012221111000
4223001033010
510341333002
61041413300
7164566200
oct53011704
923187430
1011277252
116402848
12393a230
13244b03c
1416d7b00
15ecb61c
hexac13c4

11277252 has 72 divisors (see below), whose sum is σ = 34026720. Its totient is φ = 3220560.

The previous prime is 11277251. The next prime is 11277257. The reversal of 11277252 is 25277211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11277251) 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, 4227 + ... + 6357.

Almost surely, 211277252 is an apocalyptic number.

11277252 is a gapful number since it is divisible by the number (12) 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 11277252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17013360).

11277252 is an abundant number, since it is smaller than the sum of its proper divisors (22749468).

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

11277252 is a wasteful number, since it uses less digits than its factorization.

11277252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2143 counting only the distinct ones).

The product of its digits is 1960, while the sum is 27.

The square root of 11277252 is about 3358.1619972836. The cubic root of 11277252 is about 224.2510206774.

The spelling of 11277252 in words is "eleven million, two hundred seventy-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2131 2646 4262 5292 6393 8524 12786 14917 19179 25572 29834 38358 44751 57537 59668 76716 89502 104419 115074 134253 179004 208838 230148 268506 313257 402759 417676 537012 626514 805518 939771 1253028 1611036 1879542 2819313 3759084 5638626 11277252