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199137660 = 2235171011933
BaseRepresentation
bin10111101111010…
…01100101111100
3111212201020111220
423313221211330
5401434401120
631432113340
74635433161
oct1367514574
9455636456
10199137660
11a2454087
1256835850
1332344947
141c63a068
1512738b40
hexbde997c

199137660 has 96 divisors (see below), whose sum is σ = 596538432. Its totient is φ = 49459200.

The previous prime is 199137629. The next prime is 199137661. The reversal of 199137660 is 66731991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199137661) 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, 102054 + ... + 103986.

It is an arithmetic number, because the mean of its divisors is an integer number (6213942).

Almost surely, 2199137660 is an apocalyptic number.

199137660 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 199137660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298269216).

199137660 is an abundant number, since it is smaller than the sum of its proper divisors (397400772).

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

199137660 is a wasteful number, since it uses less digits than its factorization.

199137660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 199137660 is about 14111.6143654792. The cubic root of 199137660 is about 583.9618375951.

The spelling of 199137660 in words is "one hundred ninety-nine million, one hundred thirty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 101 102 170 202 204 255 303 340 404 505 510 606 1010 1020 1212 1515 1717 1933 2020 3030 3434 3866 5151 5799 6060 6868 7732 8585 9665 10302 11598 17170 19330 20604 23196 25755 28995 32861 34340 38660 51510 57990 65722 98583 103020 115980 131444 164305 195233 197166 328610 390466 394332 492915 585699 657220 780932 976165 985830 1171398 1952330 1971660 2342796 2928495 3318961 3904660 5856990 6637922 9956883 11713980 13275844 16594805 19913766 33189610 39827532 49784415 66379220 99568830 199137660