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11435920 = 245142949
BaseRepresentation
bin101011100111…
…111110010000
3210112000010121
4223213332100
510411422140
61045040024
7166126606
oct53477620
923460117
1011435920
116500a81
1239b6014
1324a5322
141739876
15100d64a
hexae7f90

11435920 has 20 divisors (see below), whose sum is σ = 26588700. Its totient is φ = 4574336.

The previous prime is 11435909. The next prime is 11435959. The reversal of 11435920 is 2953411.

It can be written as a sum of positive squares in 2 ways, for example, as 4963984 + 6471936 = 2228^2 + 2544^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71395 + ... + 71554.

It is an arithmetic number, because the mean of its divisors is an integer number (1329435).

Almost surely, 211435920 is an apocalyptic number.

11435920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11435920 is an abundant number, since it is smaller than the sum of its proper divisors (15152780).

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

11435920 is a wasteful number, since it uses less digits than its factorization.

11435920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142962 (or 142956 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 11435920 is about 3381.7037126277. The cubic root of 11435920 is about 225.2978442372.

The spelling of 11435920 in words is "eleven million, four hundred thirty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 142949 285898 571796 714745 1143592 1429490 2287184 2858980 5717960 11435920