Search a number
-
+
60204960 = 2532541809
BaseRepresentation
bin1110010110101…
…0011110100000
311012021201200100
43211222132200
5110403024320
65550222400
71330506444
oct345523640
9135251610
1060204960
1130a90972
12181b4a00
13c61c34a
147dd2824
155443790
hex396a7a0

60204960 has 72 divisors (see below), whose sum is σ = 205454340. Its totient is φ = 16054272.

The previous prime is 60204953. The next prime is 60204997. The reversal of 60204960 is 6940206.

60204960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 58430736 + 1774224 = 7644^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19465 + ... + 22344.

Almost surely, 260204960 is an apocalyptic number.

60204960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60204960 is an abundant number, since it is smaller than the sum of its proper divisors (145249380).

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

60204960 is a wasteful number, since it uses less digits than its factorization.

60204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41830 (or 41819 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 60204960 is about 7759.1855242674. The cubic root of 60204960 is about 391.9320304200.

The spelling of 60204960 in words is "sixty million, two hundred four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 41809 83618 125427 167236 209045 250854 334472 376281 418090 501708 627135 668944 752562 836180 1003416 1254270 1337888 1505124 1672360 1881405 2006832 2508540 3010248 3344720 3762810 4013664 5017080 6020496 6689440 7525620 10034160 12040992 15051240 20068320 30102480 60204960