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5939136 = 26337491
BaseRepresentation
bin10110101001111111000000
3102011201222000
4112221333000
53010023021
6331144000
7101324160
oct26517700
912151860
105939136
113397185
121ba5000
1312cc3a8
14b085a0
157c4b26
hex5a9fc0

5939136 has 112 divisors (see below), whose sum is σ = 19994880. Its totient is φ = 1693440.

The previous prime is 5939123. The next prime is 5939149. The reversal of 5939136 is 6319395.

5939136 is digitally balanced in base 4, because in such base 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 (5939123) and next prime (5939149).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 5939136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11851 + ... + 12341.

Almost surely, 25939136 is an apocalyptic number.

5939136 is a gapful number since it is divisible by the number (56) 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 5939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997440).

5939136 is an abundant number, since it is smaller than the sum of its proper divisors (14055744).

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

5939136 is a wasteful number, since it uses less digits than its factorization.

5939136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 503 counting only the distinct ones).

The product of its digits is 21870, while the sum is 36.

The square root of 5939136 is about 2437.0342631978. The cubic root of 5939136 is about 181.0955408625.

The spelling of 5939136 in words is "five million, nine hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 491 504 576 672 756 864 982 1008 1344 1473 1512 1728 1964 2016 2946 3024 3437 3928 4032 4419 5892 6048 6874 7856 8838 10311 11784 12096 13257 13748 15712 17676 20622 23568 26514 27496 30933 31424 35352 41244 47136 53028 54992 61866 70704 82488 92799 94272 106056 109984 123732 141408 164976 185598 212112 219968 247464 282816 329952 371196 424224 494928 659904 742392 848448 989856 1484784 1979712 2969568 5939136