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58023320 = 2353173641
BaseRepresentation
bin1101110101010…
…1110110011000
311001011220000212
43131111312120
5104323221240
65431350252
71303122125
oct335256630
9131156025
1058023320
112a830863
1217522388
13c037334
1479c574c
155162165
hex3755d98

58023320 has 64 divisors (see below), whose sum is σ = 136823040. Its totient is φ = 22118400.

The previous prime is 58023311. The next prime is 58023331. The reversal of 58023320 is 2332085.

It is a super-3 number, since 3×580233203 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90200 + ... + 90840.

It is an arithmetic number, because the mean of its divisors is an integer number (2137860).

Almost surely, 258023320 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 58023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68411520).

58023320 is an abundant number, since it is smaller than the sum of its proper divisors (78799720).

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

58023320 is a wasteful number, since it uses less digits than its factorization.

58023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 58023320 is about 7617.3039850068. The cubic root of 58023320 is about 387.1395357570.

The spelling of 58023320 in words is "fifty-eight million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 146 155 248 292 310 365 584 620 641 730 1240 1282 1460 2263 2564 2920 3205 4526 5128 6410 9052 11315 12820 18104 19871 22630 25640 39742 45260 46793 79484 90520 93586 99355 158968 187172 198710 233965 374344 397420 467930 794840 935860 1450583 1871720 2901166 5802332 7252915 11604664 14505830 29011660 58023320