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11331900 = 2234521399
BaseRepresentation
bin101011001110…
…100100111100
3210022201110000
4223032210330
510400110100
61042514300
7165214416
oct53164474
923281400
1011331900
11643a908
123965990
132469b88
14170d9b6
15edc900
hexace93c

11331900 has 90 divisors (see below), whose sum is σ = 36759800. Its totient is φ = 3019680.

The previous prime is 11331899. The next prime is 11331917. The reversal of 11331900 is 913311.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×113319002 = 256823915220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 7401 + ... + 8799.

Almost surely, 211331900 is an apocalyptic number.

11331900 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 11331900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18379900).

11331900 is an abundant number, since it is smaller than the sum of its proper divisors (25427900).

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

11331900 is a wasteful number, since it uses less digits than its factorization.

11331900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 11331900 is about 3366.2887576677. The cubic root of 11331900 is about 224.6126669297.

The spelling of 11331900 in words is "eleven million, three hundred thirty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1399 1620 2025 2700 2798 4050 4197 5596 6995 8100 8394 12591 13990 16788 20985 25182 27980 34975 37773 41970 50364 62955 69950 75546 83940 104925 113319 125910 139900 151092 188865 209850 226638 251820 314775 377730 419700 453276 566595 629550 755460 944325 1133190 1259100 1888650 2266380 2832975 3777300 5665950 11331900