Search a number
-
+
199665060 = 223574311103
BaseRepresentation
bin10111110011010…
…10010110100100
3111220201000222020
423321222112210
5402103240220
631451303140
74643060610
oct1371522644
9456630866
10199665060
11a2784351
1256a4aab0
133249aa0a
141c736340
15127e0040
hexbe6a5a4

199665060 has 96 divisors (see below), whose sum is σ = 640991232. Its totient is φ = 45490560.

The previous prime is 199665043. The next prime is 199665073. The reversal of 199665060 is 60566991.

It is a super-2 number, since 2×1996650602 = 79732272369607200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180469 + ... + 181571.

It is an arithmetic number, because the mean of its divisors is an integer number (6676992).

Almost surely, 2199665060 is an apocalyptic number.

199665060 is a gapful number since it is divisible by the number (10) 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 199665060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320495616).

199665060 is an abundant number, since it is smaller than the sum of its proper divisors (441326172).

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

199665060 is a wasteful number, since it uses less digits than its factorization.

199665060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 199665060 is about 14130.2887443958. The cubic root of 199665060 is about 584.4769084000.

The spelling of 199665060 in words is "one hundred ninety-nine million, six hundred sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 431 862 1103 1293 1724 2155 2206 2586 3017 3309 4310 4412 5172 5515 6034 6465 6618 7721 8620 9051 11030 12068 12930 13236 15085 15442 16545 18102 22060 23163 25860 30170 30884 33090 36204 38605 45255 46326 60340 66180 77210 90510 92652 115815 154420 181020 231630 463260 475393 950786 1426179 1901572 2376965 2852358 3327751 4753930 5704716 6655502 7130895 9507860 9983253 13311004 14261790 16638755 19966506 28523580 33277510 39933012 49916265 66555020 99832530 199665060