Search a number
-
+
199343760 = 243572112367
BaseRepresentation
bin10111110000110…
…11111010010000
3111220002201020020
423320123322100
5402013000020
631440343440
74640252100
oct1370337220
9456081206
10199343760
11a2584a10
1256914b80
13323b76b5
141c691200
1512779c40
hexbe1be90

199343760 has 480 divisors, whose sum is σ = 830518272. Its totient is φ = 39029760.

The previous prime is 199343741. The next prime is 199343761. The reversal of 199343760 is 67343991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199343761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2975247 + ... + 2975313.

Almost surely, 2199343760 is an apocalyptic number.

199343760 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 199343760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415259136).

199343760 is an abundant number, since it is smaller than the sum of its proper divisors (631174512).

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

199343760 is a wasteful number, since it uses less digits than its factorization.

199343760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 199343760 is about 14118.9149724758. The cubic root of 199343760 is about 584.1632276583.

It can be divided in two parts, 1993 and 43760, that added together give a triangular number (45753 = T302).

The spelling of 199343760 in words is "one hundred ninety-nine million, three hundred forty-three thousand, seven hundred sixty".