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11268684 = 2232797461
BaseRepresentation
bin101010111111…
…001001001100
3210012111201200
4222333021030
510341044214
61041305500
7164532210
oct52771114
923174650
1011268684
1163a7369
123935290
13244717b
1416d4940
15ec8d09
hexabf24c

11268684 has 72 divisors (see below), whose sum is σ = 32960928. Its totient is φ = 3179520.

The previous prime is 11268641. The next prime is 11268707. The reversal of 11268684 is 48686211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 24214 + ... + 24674.

Almost surely, 211268684 is an apocalyptic number.

11268684 is a gapful number since it is divisible by the number (14) 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 11268684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480464).

11268684 is an abundant number, since it is smaller than the sum of its proper divisors (21692244).

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

11268684 is a wasteful number, since it uses less digits than its factorization.

11268684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 570 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 11268684 is about 3356.8860570475. The cubic root of 11268684 is about 224.1942140031.

The spelling of 11268684 in words is "eleven million, two hundred sixty-eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 97 126 194 252 291 388 461 582 679 873 922 1164 1358 1383 1746 1844 2037 2716 2766 3227 3492 4074 4149 5532 6111 6454 8148 8298 9681 12222 12908 16596 19362 24444 29043 38724 44717 58086 89434 116172 134151 178868 268302 313019 402453 536604 626038 804906 939057 1252076 1609812 1878114 2817171 3756228 5634342 11268684