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11263968 = 253313037
BaseRepresentation
bin101010111101…
…111111100000
3210012021021000
4222331333200
510340421333
61041232000
7164512362
oct52757740
923167230
1011263968
1163a3871
123932600
132444c91
1416d2d32
15ec7713
hexabdfe0

11263968 has 48 divisors (see below), whose sum is σ = 32855760. Its totient is φ = 3754368.

The previous prime is 11263963. The next prime is 11263969. The reversal of 11263968 is 86936211.

11263968 is a `hidden beast` number, since 1 + 12 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11263963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5655 + ... + 7382.

It is an arithmetic number, because the mean of its divisors is an integer number (684495).

Almost surely, 211263968 is an apocalyptic number.

11263968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11263968 is an abundant number, since it is smaller than the sum of its proper divisors (21591792).

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

11263968 is a wasteful number, since it uses less digits than its factorization.

11263968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13056 (or 13042 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 11263968 is about 3356.1835468282. The cubic root of 11263968 is about 224.1629341765.

The spelling of 11263968 in words is "eleven million, two hundred sixty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 13037 26074 39111 52148 78222 104296 117333 156444 208592 234666 312888 351999 417184 469332 625776 703998 938664 1251552 1407996 1877328 2815992 3754656 5631984 11263968