Search a number
-
+
58150680 = 23357371871
BaseRepresentation
bin1101110111010…
…0111100011000
311001102100201220
43131310330120
5104341310210
65434212040
71304162340
oct335647430
9131370656
1058150680
112a908515
1217584020
13c0802b3
147a19d20
155189c70
hex3774f18

58150680 has 128 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 12925440.

The previous prime is 58150679. The next prime is 58150691. The reversal of 58150680 is 8605185.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30145 + ... + 32015.

It is an arithmetic number, because the mean of its divisors is an integer number (1600560).

Almost surely, 258150680 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 58150680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840).

58150680 is an abundant number, since it is smaller than the sum of its proper divisors (146721000).

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

58150680 is a wasteful number, since it uses less digits than its factorization.

58150680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 58150680 is about 7625.6593157576. The cubic root of 58150680 is about 387.4225832162.

The spelling of 58150680 in words is "fifty-eight million, one hundred fifty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 1871 2072 2220 2590 3108 3742 3885 4440 5180 5613 6216 7484 7770 9355 10360 11226 13097 14968 15540 18710 22452 26194 28065 31080 37420 39291 44904 52388 56130 65485 69227 74840 78582 104776 112260 130970 138454 157164 196455 207681 224520 261940 276908 314328 346135 392910 415362 484589 523880 553816 692270 785820 830724 969178 1038405 1384540 1453767 1571640 1661448 1938356 2076810 2422945 2769080 2907534 3876712 4153620 4845890 5815068 7268835 8307240 9691780 11630136 14537670 19383560 29075340 58150680