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199013136 = 24375910039
BaseRepresentation
bin10111101110010…
…11001100010000
3111212110220200220
423313023030100
5401421410021
631425313040
74634404140
oct1367131420
9455426626
10199013136
11a2379573
1256795780
133230006a
141c606920
1512711cc6
hexbdcb310

199013136 has 80 divisors (see below), whose sum is σ = 597580800. Its totient is φ = 55891584.

The previous prime is 199013123. The next prime is 199013147. The reversal of 199013136 is 631310991.

It is a happy number.

199013136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 199013097 and 199013106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14805 + ... + 24843.

It is an arithmetic number, because the mean of its divisors is an integer number (7469760).

Almost surely, 2199013136 is an apocalyptic number.

199013136 is a gapful number since it is divisible by the number (16) 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 199013136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298790400).

199013136 is an abundant number, since it is smaller than the sum of its proper divisors (398567664).

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

199013136 is a wasteful number, since it uses less digits than its factorization.

199013136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 33.

The square root of 199013136 is about 14107.2015651581. The cubic root of 199013136 is about 583.8400919540.

The spelling of 199013136 in words is "one hundred ninety-nine million, thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 9912 10039 19824 20078 30117 40156 60234 70273 80312 120468 140546 160624 210819 240936 281092 421638 481872 562184 592301 843276 1124368 1184602 1686552 1776903 2369204 3373104 3553806 4146107 4738408 7107612 8292214 9476816 12438321 14215224 16584428 24876642 28430448 33168856 49753284 66337712 99506568 199013136