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11013920 = 255193623
BaseRepresentation
bin101010000000…
…111100100000
3202201120020222
4222000330200
510304421140
61032022212
7162421361
oct52007440
922646228
1011013920
116242a15
123831968
132388218
141669b68
15e785b5
hexa80f20

11013920 has 48 divisors (see below), whose sum is σ = 27397440. Its totient is φ = 4172544.

The previous prime is 11013917. The next prime is 11013923. The reversal of 11013920 is 2931011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11013917) and next prime (11013923).

It is not an unprimeable number, because it can be changed into a prime (11013923) 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, 1229 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (570780).

Almost surely, 211013920 is an apocalyptic number.

11013920 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 11013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13698720).

11013920 is an abundant number, since it is smaller than the sum of its proper divisors (16383520).

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

11013920 is a wasteful number, since it uses less digits than its factorization.

11013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11013920 is about 3318.7226458383. The cubic root of 11013920 is about 222.4917810371.

Adding to 11013920 its reverse (2931011), we get a palindrome (13944931).

The spelling of 11013920 in words is "eleven million, thirteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 3623 7246 14492 18115 28984 36230 57968 68837 72460 115936 137674 144920 275348 289840 344185 550696 579680 688370 1101392 1376740 2202784 2753480 5506960 11013920