Search a number
-
+
60316980 = 22354773293
BaseRepresentation
bin1110011000010…
…1110100110100
311012111102100020
43212011310310
5110420120410
65552445140
71331454153
oct346056464
9135442306
1060316980
1131058049
12182497b0
13c65b329
14802159a
155466a70
hex3985d34

60316980 has 96 divisors (see below), whose sum is σ = 175440384. Its totient is φ = 15473664.

The previous prime is 60316937. The next prime is 60316981. The reversal of 60316980 is 8961306.

60316980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60316981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205714 + ... + 206006.

It is an arithmetic number, because the mean of its divisors is an integer number (1827504).

Almost surely, 260316980 is an apocalyptic number.

60316980 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60316980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87720192).

60316980 is an abundant number, since it is smaller than the sum of its proper divisors (115123404).

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

60316980 is a wasteful number, since it uses less digits than its factorization.

60316980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 60316980 is about 7766.4007107540. The cubic root of 60316980 is about 392.1749618114.

The spelling of 60316980 in words is "sixty million, three hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 73 94 141 146 188 219 235 282 292 293 365 438 470 564 586 705 730 876 879 940 1095 1172 1410 1460 1465 1758 2190 2820 2930 3431 3516 4380 4395 5860 6862 8790 10293 13724 13771 17155 17580 20586 21389 27542 34310 41172 41313 42778 51465 55084 64167 68620 68855 82626 85556 102930 106945 128334 137710 165252 205860 206565 213890 256668 275420 320835 413130 427780 641670 826260 1005283 1283340 2010566 3015849 4021132 5026415 6031698 10052830 12063396 15079245 20105660 30158490 60316980