Search a number
-
+
58921380 = 223257101463
BaseRepresentation
bin1110000011000…
…1000110100100
311002212111221100
43200301012210
5110040441010
65502520100
71313552310
oct340610644
9132774840
1058921380
1130294561
1217896030
13c29002b
147b7ab40
15528d2c0
hex38311a4

58921380 has 144 divisors (see below), whose sum is σ = 206728704. Its totient is φ = 13305600.

The previous prime is 58921351. The next prime is 58921397. The reversal of 58921380 is 8312985.

It is a super-2 number, since 2×589213802 = 6943458042208800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 127029 + ... + 127491.

It is an arithmetic number, because the mean of its divisors is an integer number (1435616).

Almost surely, 258921380 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 58921380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103364352).

58921380 is an abundant number, since it is smaller than the sum of its proper divisors (147807324).

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

58921380 is a wasteful number, since it uses less digits than its factorization.

58921380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58921380 is about 7676.0263157444. The cubic root of 58921380 is about 389.1266453002.

The spelling of 58921380 in words is "fifty-eight million, nine hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 101 105 126 140 180 202 210 252 303 315 404 420 463 505 606 630 707 909 926 1010 1212 1260 1389 1414 1515 1818 1852 2020 2121 2315 2778 2828 3030 3241 3535 3636 4167 4242 4545 4630 5556 6060 6363 6482 6945 7070 8334 8484 9090 9260 9723 10605 12726 12964 13890 14140 16205 16668 18180 19446 20835 21210 25452 27780 29169 31815 32410 38892 41670 42420 46763 48615 58338 63630 64820 83340 93526 97230 116676 127260 140289 145845 187052 194460 233815 280578 291690 327341 420867 467630 561156 583380 654682 701445 841734 935260 982023 1309364 1402890 1636705 1683468 1964046 2104335 2805780 2946069 3273410 3928092 4208670 4910115 5892138 6546820 8417340 9820230 11784276 14730345 19640460 29460690 58921380