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5791980 = 2235372609
BaseRepresentation
bin10110000110000011101100
3101220021002210
4112012003230
52440320410
6324050420
7100142145
oct26060354
911807083
105791980
1132a6667
121b33a10
13127a40c
14aaaacc
15796220
hex5860ec

5791980 has 48 divisors (see below), whose sum is σ = 16662240. Its totient is φ = 1502208.

The previous prime is 5791963. The next prime is 5791987. The reversal of 5791980 is 891975.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a plaindrome in base 14.

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5791987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 916 + ... + 3524.

It is an arithmetic number, because the mean of its divisors is an integer number (347130).

Almost surely, 25791980 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 5791980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8331120).

5791980 is an abundant number, since it is smaller than the sum of its proper divisors (10870260).

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

5791980 is a wasteful number, since it uses less digits than its factorization.

5791980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2656 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 39.

The square root of 5791980 is about 2406.6532778944. The cubic root of 5791980 is about 179.5873262188.

The spelling of 5791980 in words is "five million, seven hundred ninety-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 2609 5218 7827 10436 13045 15654 26090 31308 39135 52180 78270 96533 156540 193066 289599 386132 482665 579198 965330 1158396 1447995 1930660 2895990 5791980