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199951060 = 225191972671
BaseRepresentation
bin10111110101100…
…00001011010100
3111221020120021211
423322300023110
5402141413220
631501351204
74645361461
oct1372601324
9457216254
10199951060
11a295a211
1256b68504
133256ac4a
141c7ac668
1512849b5a
hexbeb02d4

199951060 has 48 divisors (see below), whose sum is σ = 444407040. Its totient is φ = 75358080.

The previous prime is 199951039. The next prime is 199951069. The reversal of 199951060 is 60159991.

199951060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199951069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73525 + ... + 76195.

It is an arithmetic number, because the mean of its divisors is an integer number (9258480).

Almost surely, 2199951060 is an apocalyptic number.

199951060 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 199951060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222203520).

199951060 is an abundant number, since it is smaller than the sum of its proper divisors (244455980).

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

199951060 is a wasteful number, since it uses less digits than its factorization.

199951060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 40.

The square root of 199951060 is about 14140.4052275739. The cubic root of 199951060 is about 584.7558432752.

The spelling of 199951060 in words is "one hundred ninety-nine million, nine hundred fifty-one thousand, sixty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 197 380 394 788 985 1970 2671 3743 3940 5342 7486 10684 13355 14972 18715 26710 37430 50749 53420 74860 101498 202996 253745 507490 526187 1014980 1052374 2104748 2630935 5261870 9997553 10523740 19995106 39990212 49987765 99975530 199951060