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60806772 = 223213413169
BaseRepresentation
bin1110011111110…
…1011001110100
311020102022012200
43213331121310
5111031304042
610011144500
71335564135
oct347753164
9136368180
1060806772
1131362034
1218445130
13c7a0250
14810bc8c
155511c4c
hex39fd674

60806772 has 72 divisors (see below), whose sum is σ = 169620360. Its totient is φ = 18247680.

The previous prime is 60806761. The next prime is 60806791. The reversal of 60806772 is 27760806.

It can be written as a sum of positive squares in 4 ways, for example, as 527076 + 60279696 = 726^2 + 7764^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17604 + ... + 20772.

Almost surely, 260806772 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 60806772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84810180).

60806772 is an abundant number, since it is smaller than the sum of its proper divisors (108813588).

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

60806772 is a wasteful number, since it uses less digits than its factorization.

60806772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3233 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 60806772 is about 7797.8697090936. The cubic root of 60806772 is about 393.2336275734.

The spelling of 60806772 in words is "sixty million, eight hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3169 3198 4797 6338 6396 9507 9594 12676 19014 19188 28521 38028 41197 57042 82394 114084 123591 129929 164788 247182 259858 370773 389787 494364 519716 741546 779574 1169361 1483092 1559148 1689077 2338722 3378154 4677444 5067231 6756308 10134462 15201693 20268924 30403386 60806772