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60728668 = 227111329523
BaseRepresentation
bin1110011110101…
…0010101011100
311020021100001221
43213222111130
5111021304133
610005343124
71335120340
oct347522534
9136240057
1060728668
1131309390
1218407aa4
13c773830
1480cb620
1554e8a2d
hex39ea55c

60728668 has 96 divisors (see below), whose sum is σ = 147893760. Its totient is φ = 21047040.

The previous prime is 60728663. The next prime is 60728669. The reversal of 60728668 is 86682706.

It is a super-2 number, since 2×607286682 = 7375942234108448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60728663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115855 + ... + 116377.

It is an arithmetic number, because the mean of its divisors is an integer number (1540560).

Almost surely, 260728668 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 60728668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73946880).

60728668 is an abundant number, since it is smaller than the sum of its proper divisors (87165092).

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

60728668 is a wasteful number, since it uses less digits than its factorization.

60728668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 60728668 is about 7792.8600654702. The cubic root of 60728668 is about 393.0651908594.

The spelling of 60728668 in words is "sixty million, seven hundred twenty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 143 154 182 203 286 308 319 364 377 406 523 572 638 754 812 1001 1046 1276 1508 2002 2092 2233 2639 3661 4004 4147 4466 5278 5753 6799 7322 8294 8932 10556 11506 13598 14644 15167 16588 23012 27196 29029 30334 40271 47593 58058 60668 74789 80542 95186 106169 116116 149578 161084 166837 190372 197171 212338 299156 333674 394342 424676 523523 667348 788684 1047046 1167859 1380197 2094092 2168881 2335718 2760394 4337762 4671436 5520788 8675524 15182167 30364334 60728668