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11639000 = 2353103113
BaseRepresentation
bin101100011001…
…100011011000
3210220022201002
4230121203120
510434422000
61053244132
7200633642
oct54314330
923808632
1011639000
11662a60a
123a93648
1325468a9
14178d892
15104d8d5
hexb198d8

11639000 has 64 divisors (see below), whose sum is σ = 27743040. Its totient is φ = 4569600.

The previous prime is 11638997. The next prime is 11639009. The reversal of 11639000 is 93611.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11639009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102944 + ... + 103056.

It is an arithmetic number, because the mean of its divisors is an integer number (433485).

Almost surely, 211639000 is an apocalyptic number.

11639000 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 11639000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13871520).

11639000 is an abundant number, since it is smaller than the sum of its proper divisors (16104040).

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

11639000 is a wasteful number, since it uses less digits than its factorization.

11639000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 11639000 is about 3411.5978661032. The cubic root of 11639000 is about 226.6236461991.

The spelling of 11639000 in words is "eleven million, six hundred thirty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 103 113 125 200 206 226 250 412 452 500 515 565 824 904 1000 1030 1130 2060 2260 2575 2825 4120 4520 5150 5650 10300 11300 11639 12875 14125 20600 22600 23278 25750 28250 46556 51500 56500 58195 93112 103000 113000 116390 232780 290975 465560 581950 1163900 1454875 2327800 2909750 5819500 11639000