Search a number
-
+
516085700 = 225213834783
BaseRepresentation
bin11110110000101…
…101011111000100
31022222002212111012
4132300231133010
52024104220300
6123113301352
715534441014
oct3660553704
91288085435
10516085700
11245353909
12124a04858
1382bc7970
144c781c44
1530494435
hex1ec2d7c4

516085700 has 72 divisors (see below), whose sum is σ = 1220838528. Its totient is φ = 188219520.

The previous prime is 516085693. The next prime is 516085729. The reversal of 516085700 is 7580615.

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, 105509 + ... + 110291.

Almost surely, 2516085700 is an apocalyptic number.

516085700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516085700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610419264).

516085700 is an abundant number, since it is smaller than the sum of its proper divisors (704752828).

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

516085700 is a wasteful number, since it uses less digits than its factorization.

516085700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 516085700 is about 22717.5196709500. The cubic root of 516085700 is about 802.1223333972.

The spelling of 516085700 in words is "five hundred sixteen million, eighty-five thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 260 325 332 415 650 830 1079 1300 1660 2075 2158 4150 4316 4783 5395 8300 9566 10790 19132 21580 23915 26975 47830 53950 62179 95660 107900 119575 124358 239150 248716 310895 396989 478300 621790 793978 1243580 1554475 1587956 1984945 3108950 3969890 5160857 6217900 7939780 9924725 10321714 19849450 20643428 25804285 39698900 51608570 103217140 129021425 258042850 516085700