Search a number
-
+
58971980 = 225171071621
BaseRepresentation
bin1110000011110…
…1011101001100
311002222002100102
43200331131030
5110044100410
65503550232
71314152654
oct340753514
9132862312
1058971980
1130319581
12178bb378
13c2aa082
147b91364
15529d2a5
hex383d74c

58971980 has 48 divisors (see below), whose sum is σ = 132433056. Its totient is φ = 21980160.

The previous prime is 58971973. The next prime is 58972003. The reversal of 58971980 is 8917985.

It is a happy 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, 35570 + ... + 37190.

It is an arithmetic number, because the mean of its divisors is an integer number (2759022).

Almost surely, 258971980 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 58971980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66216528).

58971980 is an abundant number, since it is smaller than the sum of its proper divisors (73461076).

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

58971980 is a wasteful number, since it uses less digits than its factorization.

58971980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 47.

The square root of 58971980 is about 7679.3215846193. The cubic root of 58971980 is about 389.2380037160.

The spelling of 58971980 in words is "fifty-eight million, nine hundred seventy-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 107 170 214 340 428 535 1070 1621 1819 2140 3242 3638 6484 7276 8105 9095 16210 18190 27557 32420 36380 55114 110228 137785 173447 275570 346894 551140 693788 867235 1734470 2948599 3468940 5897198 11794396 14742995 29485990 58971980