Search a number
-
+
60868100 = 225229139151
BaseRepresentation
bin1110100000110…
…0011000000100
311020112102100002
43220030120010
5111040234400
610012340432
71336241006
oct350143004
9136472302
1060868100
11313a4117
1218474718
13c7c2137
148126376
155524ed5
hex3a0c604

60868100 has 72 divisors (see below), whose sum is σ = 138532800. Its totient is φ = 23184000.

The previous prime is 60868081. The next prime is 60868111. The reversal of 60868100 is 186806.

It is a super-2 number, since 2×608681002 = 7409851195220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403025 + ... + 403175.

Almost surely, 260868100 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 60868100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69266400).

60868100 is an abundant number, since it is smaller than the sum of its proper divisors (77664700).

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

60868100 is a wasteful number, since it uses less digits than its factorization.

60868100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 60868100 is about 7801.8010741110. The cubic root of 60868100 is about 393.3657846123.

The spelling of 60868100 in words is "sixty million, eight hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 139 145 151 278 290 302 556 580 604 695 725 755 1390 1450 1510 2780 2900 3020 3475 3775 4031 4379 6950 7550 8062 8758 13900 15100 16124 17516 20155 20989 21895 40310 41978 43790 80620 83956 87580 100775 104945 109475 201550 209890 218950 403100 419780 437900 524725 608681 1049450 1217362 2098900 2434724 3043405 6086810 12173620 15217025 30434050 60868100