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5999040 = 263252083
BaseRepresentation
bin10110111000100111000000
3102021210010200
4112320213000
53013432130
6332325200
7101663625
oct26704700
912253120
105999040
113428193
122013800
131320738
14b2234c
157d7760
hex5b89c0

5999040 has 84 divisors (see below), whose sum is σ = 20644104. Its totient is φ = 1598976.

The previous prime is 5999009. The next prime is 5999053. The reversal of 5999040 is 409995.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5998986 and 5999004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1839 + ... + 3921.

Almost surely, 25999040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322052).

5999040 is an abundant number, since it is smaller than the sum of its proper divisors (14645064).

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

5999040 is a wasteful number, since it uses less digits than its factorization.

5999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 5999040 is about 2449.2937757648. The cubic root of 5999040 is about 181.7023674565.

It can be divided in two parts, 59 and 99040, that added together give a palindrome (99099).

The spelling of 5999040 in words is "five million, nine hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2083 2880 4166 6249 8332 10415 12498 16664 18747 20830 24996 31245 33328 37494 41660 49992 62490 66656 74988 83320 93735 99984 124980 133312 149976 166640 187470 199968 249960 299952 333280 374940 399936 499920 599904 666560 749880 999840 1199808 1499760 1999680 2999520 5999040