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11683900 = 2252313769
BaseRepresentation
bin101100100100…
…100000111100
3210222121022001
4230210200330
510442341100
61054232044
7201211564
oct54444074
923877261
1011683900
116660318
123ab5624
132561167
1417a1da4
15105bd6a
hexb2483c

11683900 has 36 divisors (see below), whose sum is σ = 26178880. Its totient is φ = 4521600.

The previous prime is 11683891. The next prime is 11683907. The reversal of 11683900 is 938611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11683907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216 + ... + 4984.

Almost surely, 211683900 is an apocalyptic number.

11683900 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 11683900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089440).

11683900 is an abundant number, since it is smaller than the sum of its proper divisors (14494980).

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

11683900 is a wasteful number, since it uses less digits than its factorization.

11683900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3814 (or 3807 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 11683900 is about 3418.1720260982. The cubic root of 11683900 is about 226.9146891028.

The spelling of 11683900 in words is "eleven million, six hundred eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 3769 7538 15076 18845 37690 75380 94225 116839 188450 233678 376900 467356 584195 1168390 2336780 2920975 5841950 11683900