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199110990 = 235133071663
BaseRepresentation
bin10111101111000…
…11000101001110
3111212122212221010
423313203011032
5401433022430
631431350050
74635262341
oct1367430516
9455585833
10199110990
11a2436041
1256822326
1332335770
141c630458
1512730cb0
hexbde314e

199110990 has 64 divisors (see below), whose sum is σ = 516612096. Its totient is φ = 48822912.

The previous prime is 199110973. The next prime is 199110991. The reversal of 199110990 is 99011991.

199110990 is a nontrivial binomial coefficient, being equal to C(19956, 2).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199110991) 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, 118899 + ... + 120561.

It is an arithmetic number, because the mean of its divisors is an integer number (8072064).

Almost surely, 2199110990 is an apocalyptic number.

199110990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199110990 is the 19955-th triangular number and also the 9978-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199110990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258306048).

199110990 is an abundant number, since it is smaller than the sum of its proper divisors (317501106).

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

199110990 is a wasteful number, since it uses less digits than its factorization.

199110990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993.

The product of its (nonzero) digits is 6561, while the sum is 39.

The square root of 199110990 is about 14110.6693675389. The cubic root of 199110990 is about 583.9357669236.

The spelling of 199110990 in words is "one hundred ninety-nine million, one hundred ten thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 307 390 614 921 1535 1663 1842 3070 3326 3991 4605 4989 7982 8315 9210 9978 11973 16630 19955 21619 23946 24945 39910 43238 49890 59865 64857 108095 119730 129714 216190 324285 510541 648570 1021082 1531623 2552705 3063246 5105410 6637033 7658115 13274066 15316230 19911099 33185165 39822198 66370330 99555495 199110990