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60716960 = 255616221
BaseRepresentation
bin1110011110011…
…1011110100000
311020020202000022
43213213132200
5111020420320
610005213012
71335041243
oct347473640
9136222008
1060716960
1131300607
1218401168
13c76b3c5
1480c725a
1554e5325
hex39e77a0

60716960 has 48 divisors (see below), whose sum is σ = 145818792. Its totient is φ = 23884800.

The previous prime is 60716933. The next prime is 60716977. The reversal of 60716960 is 6961706.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14531344 + 46185616 = 3812^2 + 6796^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 60716960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6650 + ... + 12870.

Almost surely, 260716960 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 60716960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72909396).

60716960 is an abundant number, since it is smaller than the sum of its proper divisors (85101832).

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

60716960 is a wasteful number, since it uses less digits than its factorization.

60716960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 60716960 is about 7792.1088288088. The cubic root of 60716960 is about 393.0399292975.

It can be divided in two parts, 6071 and 6960, that added together give a palindrome (13031).

The spelling of 60716960 in words is "sixty million, seven hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 6221 9760 12442 24884 31105 49768 62210 99536 124420 199072 248840 379481 497680 758962 995360 1517924 1897405 3035848 3794810 6071696 7589620 12143392 15179240 30358480 60716960