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11791940 = 225727811
BaseRepresentation
bin101100111110…
…111001000100
3211012002111112
4230332321010
511004320230
61100424152
7202141556
oct54767104
924162445
1011791940
116724506
123b48058
13259b3a4
1417cd4d6
15107dd95
hexb3ee44

11791940 has 24 divisors (see below), whose sum is σ = 24827712. Its totient is φ = 4704480.

The previous prime is 11791883. The next prime is 11791943. The reversal of 11791940 is 4919711.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11791897 and 11791906.

It is not an unprimeable number, because it can be changed into a prime (11791943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14135 + ... + 14945.

It is an arithmetic number, because the mean of its divisors is an integer number (1034488).

Almost surely, 211791940 is an apocalyptic number.

11791940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11791940 is an abundant number, since it is smaller than the sum of its proper divisors (13035772).

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

11791940 is a wasteful number, since it uses less digits than its factorization.

11791940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1547 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 32.

The square root of 11791940 is about 3433.9394287028. The cubic root of 11791940 is about 227.6119643699.

The spelling of 11791940 in words is "eleven million, seven hundred ninety-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 727 811 1454 1622 2908 3244 3635 4055 7270 8110 14540 16220 589597 1179194 2358388 2947985 5895970 11791940