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5892040 = 2357111913
BaseRepresentation
bin10110011110011111001000
3102002100100201
4112132133020
53002021130
6330141544
7101036650
oct26363710
912070321
105892040
113364860
121b818b4
1312b3b1b
14ad5360
157b5bca
hex59e7c8

5892040 has 64 divisors (see below), whose sum is σ = 16536960. Its totient is φ = 1835520.

The previous prime is 5892023. The next prime is 5892043. The reversal of 5892040 is 402985.

It is a happy number.

It is a super-2 number, since 2×58920402 = 69432270723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (5892043) 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 15 ways as a sum of consecutive naturals, for example, 2124 + ... + 4036.

It is an arithmetic number, because the mean of its divisors is an integer number (258390).

Almost surely, 25892040 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 5892040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8268480).

5892040 is an abundant number, since it is smaller than the sum of its proper divisors (10644920).

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

5892040 is a wasteful number, since it uses less digits than its factorization.

5892040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 5892040 is about 2427.3524671955. The cubic root of 5892040 is about 180.6155878047.

The spelling of 5892040 in words is "five million, eight hundred ninety-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 1913 3080 3826 7652 9565 13391 15304 19130 21043 26782 38260 42086 53564 66955 76520 84172 105215 107128 133910 147301 168344 210430 267820 294602 420860 535640 589204 736505 841720 1178408 1473010 2946020 5892040