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11939100 = 22352172341
BaseRepresentation
bin101101100010…
…110100011100
3211110120100220
4231202310130
511024022400
61103521340
7203323605
oct55426434
924416326
1011939100
116815028
123bb9250
132620374
14182adac
1510ac7a0
hexb62d1c

11939100 has 72 divisors (see below), whose sum is σ = 36591408. Its totient is φ = 2995200.

The previous prime is 11939099. The next prime is 11939101. The reversal of 11939100 is 193911.

11939100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11939099) and next prime (11939101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11939101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3930 + ... + 6270.

It is an arithmetic number, because the mean of its divisors is an integer number (508214).

Almost surely, 211939100 is an apocalyptic number.

11939100 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 11939100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18295704).

11939100 is an abundant number, since it is smaller than the sum of its proper divisors (24652308).

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

11939100 is a wasteful number, since it uses less digits than its factorization.

11939100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2375 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 24.

The square root of 11939100 is about 3455.3002763870. The cubic root of 11939100 is about 228.5548964978.

The spelling of 11939100 in words is "eleven million, nine hundred thirty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2341 2550 4682 5100 7023 9364 11705 14046 23410 28092 35115 39797 46820 58525 70230 79594 117050 119391 140460 159188 175575 198985 234100 238782 351150 397970 477564 596955 702300 795940 994925 1193910 1989850 2387820 2984775 3979700 5969550 11939100