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5889640 = 235732017
BaseRepresentation
bin10110011101111001101000
3102002020001211
4112131321220
53001432030
6330122504
7101026651
oct26357150
912066054
105889640
113362a79
121b80434
1312b29c3
14ad4528
157b512a
hex59de68

5889640 has 32 divisors (see below), whose sum is σ = 13439880. Its totient is φ = 2322432.

The previous prime is 5889619. The next prime is 5889649. The reversal of 5889640 is 469885.

5889640 = 212 + 222 + ... + 2602.

It can be written as a sum of positive squares in 4 ways, for example, as 5560164 + 329476 = 2358^2 + 574^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5889593 and 5889602.

It is not an unprimeable number, because it can be changed into a prime (5889649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1912 + ... + 3928.

Almost surely, 25889640 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 5889640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6719940).

5889640 is an abundant number, since it is smaller than the sum of its proper divisors (7550240).

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

5889640 is a wasteful number, since it uses less digits than its factorization.

5889640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 5889640 is about 2426.8580510611. The cubic root of 5889640 is about 180.5910611393.

It can be divided in two parts, 58 and 89640, that added together give a palindrome (89698).

The spelling of 5889640 in words is "five million, eight hundred eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2017 2920 4034 8068 10085 16136 20170 40340 80680 147241 294482 588964 736205 1177928 1472410 2944820 5889640