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11056640 = 2957617
BaseRepresentation
bin101010001011…
…011000000000
3202210201212012
4222023120000
510312303030
61032552052
7162660050
oct52133000
922721765
1011056640
116272021
123852628
1323a17ba
14167b560
15e86095
hexa8b600

11056640 has 80 divisors (see below), whose sum is σ = 30346272. Its totient is φ = 3784704.

The previous prime is 11056637. The next prime is 11056649. The reversal of 11056640 is 4665011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11056649) 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, 17612 + ... + 18228.

Almost surely, 211056640 is an apocalyptic number.

11056640 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 11056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15173136).

11056640 is an abundant number, since it is smaller than the sum of its proper divisors (19289632).

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

11056640 is an frugal number, since it uses more digits than its factorization.

11056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 11056640 is about 3325.1526280759. The cubic root of 11056640 is about 222.7790716170.

The spelling of 11056640 in words is "eleven million, fifty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 617 640 896 1120 1234 1280 1792 2240 2468 2560 3085 3584 4319 4480 4936 6170 8638 8960 9872 12340 17276 17920 19744 21595 24680 34552 39488 43190 49360 69104 78976 86380 98720 138208 157952 172760 197440 276416 315904 345520 394880 552832 691040 789760 1105664 1382080 1579520 2211328 2764160 5528320 11056640