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199805004 = 223274318439
BaseRepresentation
bin10111110100011…
…00100001001100
3111220222010221100
423322030201030
5402122230004
631454303100
74644212610
oct1372144114
9456863840
10199805004
11a286a503
1256ab7a90
1332519619
141c771340
151281b739
hexbe8c84c

199805004 has 72 divisors (see below), whose sum is σ = 590670080. Its totient is φ = 55756512.

The previous prime is 199805003. The next prime is 199805009. The reversal of 199805004 is 400508991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 199805004.

It is not an unprimeable number, because it can be changed into a prime (199805003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1617 + ... + 20055.

Almost surely, 2199805004 is an apocalyptic number.

199805004 is a gapful number since it is divisible by the number (14) 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 199805004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295335040).

199805004 is an abundant number, since it is smaller than the sum of its proper divisors (390865076).

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

199805004 is a wasteful number, since it uses less digits than its factorization.

199805004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18499 (or 18494 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 199805004 is about 14135.2397928015. The cubic root of 199805004 is about 584.6134285875.

The spelling of 199805004 in words is "one hundred ninety-nine million, eight hundred five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 43 63 84 86 126 129 172 252 258 301 387 516 602 774 903 1204 1548 1806 2709 3612 5418 10836 18439 36878 55317 73756 110634 129073 165951 221268 258146 331902 387219 516292 663804 774438 792877 1161657 1548876 1585754 2323314 2378631 3171508 4646628 4757262 5550139 7135893 9514524 11100278 14271786 16650417 22200556 28543572 33300834 49951251 66601668 99902502 199805004