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5999940 = 2233541271
BaseRepresentation
bin10110111000110101000100
3102021211101000
4112320311010
53013444230
6332333300
7101666352
oct26706504
912254330
105999940
113428931
122014230
131320c7b
14b227d2
157d7b60
hex5b8d44

5999940 has 96 divisors (see below), whose sum is σ = 19192320. Its totient is φ = 1555200.

The previous prime is 5999933. The next prime is 5999947. The reversal of 5999940 is 499995.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5999933) and next prime (5999947).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5999947) 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 31 ways as a sum of consecutive naturals, for example, 22005 + ... + 22275.

It is an arithmetic number, because the mean of its divisors is an integer number (199920).

Almost surely, 25999940 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 5999940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9596160).

5999940 is an abundant number, since it is smaller than the sum of its proper divisors (13192380).

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

5999940 is a wasteful number, since it uses less digits than its factorization.

5999940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 5999940 is about 2449.4774953038. The cubic root of 5999940 is about 181.7114535743.

Subtracting from 5999940 its reverse (499995), we obtain a palindrome (5499945).

It can be divided in two parts, 59 and 99940, that added together give a palindrome (99999).

The spelling of 5999940 in words is "five million, nine hundred ninety-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 271 369 410 492 540 542 615 738 813 820 1084 1107 1230 1355 1476 1626 1845 2214 2439 2460 2710 3252 3690 4065 4428 4878 5420 5535 7317 7380 8130 9756 11070 11111 12195 14634 16260 22140 22222 24390 29268 33333 36585 44444 48780 55555 66666 73170 99999 111110 133332 146340 166665 199998 222220 299997 333330 399996 499995 599994 666660 999990 1199988 1499985 1999980 2999970 5999940