Search a number
-
+
199389040 = 24519472791
BaseRepresentation
bin10111110001001…
…10111101110000
3111220012000100021
423320212331300
5402020422130
631441333224
74640531104
oct1370467560
9456160307
10199389040
11a2605a34
1256937214
13324021a6
141c6a3904
151278837a
hexbe26f70

199389040 has 80 divisors (see below), whose sum is σ = 498539520. Its totient is φ = 73923840.

The previous prime is 199389023. The next prime is 199389067. The reversal of 199389040 is 40983991.

It is a tau number, because it is divible by the number of its divisors (80).

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, 70045 + ... + 72835.

It is an arithmetic number, because the mean of its divisors is an integer number (6231744).

Almost surely, 2199389040 is an apocalyptic number.

199389040 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 199389040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249269760).

199389040 is an abundant number, since it is smaller than the sum of its proper divisors (299150480).

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

199389040 is a wasteful number, since it uses less digits than its factorization.

199389040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The square root of 199389040 is about 14120.5184040813. The cubic root of 199389040 is about 584.2074542888.

The spelling of 199389040 in words is "one hundred ninety-nine million, three hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 47 76 80 94 95 152 188 190 235 304 376 380 470 752 760 893 940 1520 1786 1880 2791 3572 3760 4465 5582 7144 8930 11164 13955 14288 17860 22328 27910 35720 44656 53029 55820 71440 106058 111640 131177 212116 223280 262354 265145 424232 524708 530290 655885 848464 1049416 1060580 1311770 2098832 2121160 2492363 2623540 4242320 4984726 5247080 9969452 10494160 12461815 19938904 24923630 39877808 49847260 99694520 199389040