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5790672 = 243240213
BaseRepresentation
bin10110000101101111010000
3101220012022100
4112011233100
52440300142
6324040400
7100135266
oct26055720
911805270
105790672
1132a5688
121b33100
131279944
14aaa436
15795b4c
hex585bd0

5790672 has 30 divisors (see below), whose sum is σ = 16206242. Its totient is φ = 1930176.

The previous prime is 5790667. The next prime is 5790677. The reversal of 5790672 is 2760975.

It is an interprime number because it is at equal distance from previous prime (5790667) and next prime (5790677).

It can be written as a sum of positive squares in only one way, i.e., 4822416 + 968256 = 2196^2 + 984^2 .

It is a super-3 number, since 3×57906723 (a number of 21 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790677) 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 5 ways as a sum of consecutive naturals, for example, 19963 + ... + 20250.

Almost surely, 25790672 is an apocalyptic number.

It is an amenable number.

5790672 is an abundant number, since it is smaller than the sum of its proper divisors (10415570).

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

5790672 is a wasteful number, since it uses less digits than its factorization.

5790672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40227 (or 40218 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5790672 is about 2406.3815158865. The cubic root of 5790672 is about 179.5738064951.

The spelling of 5790672 in words is "five million, seven hundred ninety thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 40213 80426 120639 160852 241278 321704 361917 482556 643408 723834 965112 1447668 1930224 2895336 5790672