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58993380 = 223351071021
BaseRepresentation
bin1110000100001…
…0101011100100
311010000011201000
43201002223210
5110100242010
65504233300
71314302235
oct341025344
9133004630
1058993380
1130333666
121790b830
13c2b6a34
147b9908c
1552a47c0
hex3842ae4

58993380 has 96 divisors (see below), whose sum is σ = 185431680. Its totient is φ = 15569280.

The previous prime is 58993379. The next prime is 58993387. The reversal of 58993380 is 8339985.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58993387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57270 + ... + 58290.

It is an arithmetic number, because the mean of its divisors is an integer number (1931580).

Almost surely, 258993380 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 58993380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92715840).

58993380 is an abundant number, since it is smaller than the sum of its proper divisors (126438300).

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

58993380 is a wasteful number, since it uses less digits than its factorization.

58993380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 58993380 is about 7680.7148104848. The cubic root of 58993380 is about 389.2850807962.

The spelling of 58993380 in words is "fifty-eight million, nine hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1021 1070 1284 1605 1926 2042 2140 2889 3063 3210 3852 4084 4815 5105 5778 6126 6420 9189 9630 10210 11556 12252 14445 15315 18378 19260 20420 27567 28890 30630 36756 45945 55134 57780 61260 91890 109247 110268 137835 183780 218494 275670 327741 436988 546235 551340 655482 983223 1092470 1310964 1638705 1966446 2184940 2949669 3277410 3932892 4916115 5899338 6554820 9832230 11798676 14748345 19664460 29496690 58993380