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11464720 = 2451391031
BaseRepresentation
bin101011101111…
…000000010000
3210120110122021
4223233000100
510413332340
61045421224
7166306561
oct53570020
923513567
1011464720
116520683
123a0a814
1324b5477
141746168
151016e4a
hexaef010

11464720 has 40 divisors (see below), whose sum is σ = 26873280. Its totient is φ = 4548480.

The previous prime is 11464693. The next prime is 11464751. The reversal of 11464720 is 2746411.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10605 + ... + 11635.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 211464720 is an apocalyptic number.

11464720 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 11464720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13436640).

11464720 is an abundant number, since it is smaller than the sum of its proper divisors (15408560).

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

11464720 is a wasteful number, since it uses less digits than its factorization.

11464720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 11464720 is about 3385.9592437004. The cubic root of 11464720 is about 225.4868142725.

The spelling of 11464720 in words is "eleven million, four hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 278 556 695 1031 1112 1390 2062 2224 2780 4124 5155 5560 8248 10310 11120 16496 20620 41240 82480 143309 286618 573236 716545 1146472 1433090 2292944 2866180 5732360 11464720