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580397994 = 233114092389
BaseRepresentation
bin100010100110000…
…010101110101010
31111110010021101000
4202212002232222
52142040213434
6133331535430
720245205301
oct4246025652
91443107330
10580397994
1127868a670
1214245a576
1393324687
1457123438
1535e49b99
hex22982baa

580397994 has 64 divisors (see below), whose sum is σ = 1411056000. Its totient is φ = 175374720.

The previous prime is 580397977. The next prime is 580397999. The reversal of 580397994 is 499793085.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 580397994.

It is not an unprimeable number, because it can be changed into a prime (580397999) 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 31 ways as a sum of consecutive naturals, for example, 241752 + ... + 244140.

It is an arithmetic number, because the mean of its divisors is an integer number (22047750).

Almost surely, 2580397994 is an apocalyptic number.

580397994 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 580397994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705528000).

580397994 is an abundant number, since it is smaller than the sum of its proper divisors (830658006).

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

580397994 is a wasteful number, since it uses less digits than its factorization.

580397994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 580397994 is about 24091.4506412545. The cubic root of 580397994 is about 834.1458002950.

The spelling of 580397994 in words is "five hundred eighty million, three hundred ninety-seven thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 409 594 818 1227 2389 2454 3681 4499 4778 7167 7362 8998 11043 13497 14334 21501 22086 26279 26994 40491 43002 52558 64503 78837 80982 121473 129006 157674 236511 242946 473022 709533 977101 1419066 1954202 2931303 5862606 8793909 10748111 17587818 21496222 26381727 32244333 52763454 64488666 96732999 193465998 290198997 580397994