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199640376 = 23341321823
BaseRepresentation
bin10111110011001…
…00010100111000
3111220122210010000
423321210110320
5402101443001
631450553000
74642625625
oct1371442470
9456583100
10199640376
11a2767851
1256a38760
133248c700
141c72b34c
15127d7a86
hexbe64538

199640376 has 120 divisors (see below), whose sum is σ = 605832480. Its totient is φ = 61394112.

The previous prime is 199640359. The next prime is 199640381. The reversal of 199640376 is 673046991.

199640376 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 an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 108601 + ... + 110423.

It is an arithmetic number, because the mean of its divisors is an integer number (5048604).

Almost surely, 2199640376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199640376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302916240).

199640376 is an abundant number, since it is smaller than the sum of its proper divisors (406192104).

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

199640376 is a wasteful number, since it uses less digits than its factorization.

199640376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 199640376 is about 14129.4152745257. The cubic root of 199640376 is about 584.4528216910.

The spelling of 199640376 in words is "one hundred ninety-nine million, six hundred forty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 169 216 234 312 324 338 351 468 507 648 676 702 936 1014 1053 1352 1404 1521 1823 2028 2106 2808 3042 3646 4056 4212 4563 5469 6084 7292 8424 9126 10938 12168 13689 14584 16407 18252 21876 23699 27378 32814 36504 43752 47398 49221 54756 65628 71097 94796 98442 109512 131256 142194 147663 189592 196884 213291 284388 295326 308087 393768 426582 568776 590652 616174 639873 853164 924261 1181304 1232348 1279746 1706328 1848522 1919619 2464696 2559492 2772783 3697044 3839238 5118984 5545566 7394088 7678476 8318349 11091132 15356952 16636698 22182264 24955047 33273396 49910094 66546792 99820188 199640376