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11268252 = 22322331439
BaseRepresentation
bin101010111111…
…000010011100
3210012111010200
4222333002130
510341041002
61041303500
7164531022
oct52770234
923174120
1011268252
1163a7006
123934b90
132446c08
1416d4712
15ec8b1c
hexabf09c

11268252 has 72 divisors (see below), whose sum is σ = 30750720. Its totient is φ = 3468960.

The previous prime is 11268209. The next prime is 11268253. The reversal of 11268252 is 25286211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11268253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25449 + ... + 25887.

Almost surely, 211268252 is an apocalyptic number.

11268252 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 11268252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15375360).

11268252 is an abundant number, since it is smaller than the sum of its proper divisors (19482468).

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

11268252 is a wasteful number, since it uses less digits than its factorization.

11268252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 498 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 11268252 is about 3356.8217110833. The cubic root of 11268252 is about 224.1913490386.

The spelling of 11268252 in words is "eleven million, two hundred sixty-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 439 558 713 828 878 1116 1317 1426 1756 2139 2634 2852 3951 4278 5268 6417 7902 8556 10097 12834 13609 15804 20194 25668 27218 30291 40388 40827 54436 60582 81654 90873 121164 122481 163308 181746 244962 313007 363492 489924 626014 939021 1252028 1878042 2817063 3756084 5634126 11268252