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5803080 = 2335371307
BaseRepresentation
bin10110001000110001001000
3101220211022220
4112020301020
52441144310
6324214040
7100216413
oct26106110
911824286
105803080
113303a38
121b3a320
13128249a
14ab0b7a
15799670
hex588c48

5803080 has 64 divisors (see below), whose sum is σ = 17893440. Its totient is φ = 1504512.

The previous prime is 5803079. The next prime is 5803087. The reversal of 5803080 is 803085.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5803080.

It is not an unprimeable number, because it can be changed into a prime (5803087) 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, 3787 + ... + 5093.

It is an arithmetic number, because the mean of its divisors is an integer number (279585).

Almost surely, 25803080 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 5803080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946720).

5803080 is an abundant number, since it is smaller than the sum of its proper divisors (12090360).

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

5803080 is a wasteful number, since it uses less digits than its factorization.

5803080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1358 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5803080 is about 2408.9582810833. The cubic root of 5803080 is about 179.7019759730.

The spelling of 5803080 in words is "five million, eight hundred three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1307 1480 2220 2614 3921 4440 5228 6535 7842 10456 13070 15684 19605 26140 31368 39210 48359 52280 78420 96718 145077 156840 193436 241795 290154 386872 483590 580308 725385 967180 1160616 1450770 1934360 2901540 5803080