Search a number
-
+
198719840 = 25511112909
BaseRepresentation
bin10111101100000…
…11100101100000
3111211221000101002
423312003211200
5401333013330
631415131132
74632043064
oct1366034540
9454830332
10198719840
11a2199180
1256673aa8
1332229707
141c56baa4
15126a4e45
hexbd83960

198719840 has 48 divisors (see below), whose sum is σ = 512159760. Its totient is φ = 72261120.

The previous prime is 198719837. The next prime is 198719849. The reversal of 198719840 is 48917891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198719849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54695 + ... + 58214.

It is an arithmetic number, because the mean of its divisors is an integer number (10669995).

Almost surely, 2198719840 is an apocalyptic number.

198719840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198719840 is an abundant number, since it is smaller than the sum of its proper divisors (313439920).

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

198719840 is a wasteful number, since it uses less digits than its factorization.

198719840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112935 (or 112927 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 47.

The square root of 198719840 is about 14096.8024743202. The cubic root of 198719840 is about 583.5531391147.

The spelling of 198719840 in words is "one hundred ninety-eight million, seven hundred nineteen thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 112909 225818 451636 564545 903272 1129090 1241999 1806544 2258180 2483998 3613088 4516360 4967996 6209995 9032720 9935992 12419990 18065440 19871984 24839980 39743968 49679960 99359920 198719840