Search a number
-
+
199135640 = 235111014481
BaseRepresentation
bin10111101111010…
…01000110011000
3111212201010202002
423313221012120
5401434320030
631432100132
74635424244
oct1367510630
9455633662
10199135640
11a2452610
1256834648
1332343a52
141c639424
1512738245
hexbde9198

199135640 has 64 divisors (see below), whose sum is σ = 493737120. Its totient is φ = 71680000.

The previous prime is 199135627. The next prime is 199135687. The reversal of 199135640 is 46531991.

199135640 is digitally balanced in base 3, 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 = 199135594 and 199135603.

It is a congruent number.

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, 42200 + ... + 46680.

Almost surely, 2199135640 is an apocalyptic number.

199135640 is a gapful number since it is divisible by the number (10) 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 199135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246868560).

199135640 is an abundant number, since it is smaller than the sum of its proper divisors (294601480).

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

199135640 is a wasteful number, since it uses less digits than its factorization.

199135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4604 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 199135640 is about 14111.5427930471. The cubic root of 199135640 is about 583.9598630700.

The spelling of 199135640 in words is "one hundred ninety-nine million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 4481 5555 8888 8962 11110 17924 22220 22405 35848 44440 44810 49291 89620 98582 179240 197164 246455 394328 452581 492910 905162 985820 1810324 1971640 2262905 3620648 4525810 4978391 9051620 9956782 18103240 19913564 24891955 39827128 49783910 99567820 199135640