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11321940 = 2235723851
BaseRepresentation
bin101011001100…
…001001010100
3210022012210010
4223030021110
510344300230
61042400220
7165143400
oct53141124
923265703
1011321940
116433383
123960070
132465496
14170a100
15ed99b0
hexacc254

11321940 has 72 divisors (see below), whose sum is σ = 36886752. Its totient is φ = 2587200.

The previous prime is 11321927. The next prime is 11321951. The reversal of 11321940 is 4912311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015 + ... + 4865.

It is an arithmetic number, because the mean of its divisors is an integer number (512316).

Almost surely, 211321940 is an apocalyptic number.

11321940 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 11321940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18443376).

11321940 is an abundant number, since it is smaller than the sum of its proper divisors (25564812).

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

11321940 is a wasteful number, since it uses less digits than its factorization.

11321940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3877 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11321940 is about 3364.8090584757. The cubic root of 11321940 is about 224.5468410189.

The spelling of 11321940 in words is "eleven million, three hundred twenty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 3851 7702 11553 15404 19255 23106 26957 38510 46212 53914 57765 77020 80871 107828 115530 134785 161742 188699 231060 269570 323484 377398 404355 539140 566097 754796 808710 943495 1132194 1617420 1886990 2264388 2830485 3773980 5660970 11321940