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199988406 = 23341591531
BaseRepresentation
bin10111110101110…
…01010010110110
3111221022110112000
423322321102312
5402144112111
631502240130
74645605402
oct1372712266
9457273460
10199988406
11a2985282
1256b86046
1332581c47
141c7bc102
1512855c56
hexbeb94b6

199988406 has 64 divisors (see below), whose sum is σ = 463276800. Its totient is φ = 63892800.

The previous prime is 199988387. The next prime is 199988413. The reversal of 199988406 is 604889991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129861 + ... + 131391.

It is an arithmetic number, because the mean of its divisors is an integer number (7238700).

Almost surely, 2199988406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199988406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231638400).

199988406 is an abundant number, since it is smaller than the sum of its proper divisors (263288394).

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

199988406 is a wasteful number, since it uses less digits than its factorization.

199988406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 199988406 is about 14141.7257079891. The cubic root of 199988406 is about 584.7922470703.

The spelling of 199988406 in words is "one hundred ninety-nine million, nine hundred eighty-eight thousand, four hundred six".

Divisors: 1 2 3 6 9 18 27 41 54 59 82 118 123 177 246 354 369 531 738 1062 1107 1531 1593 2214 2419 3062 3186 4593 4838 7257 9186 13779 14514 21771 27558 41337 43542 62771 65313 82674 90329 125542 130626 180658 188313 270987 376626 541974 564939 812961 1129878 1625922 1694817 2438883 3389634 3703489 4877766 7406978 11110467 22220934 33331401 66662802 99994203 199988406