Search a number
-
+
193912680 = 233513124303
BaseRepresentation
bin10111000111011…
…01111101101000
3111111212210012010
423203231331220
5344120201210
631124115520
74543142043
oct1343557550
9444783163
10193912680
119a505515
1254b35ba0
1331235640
141ba79c5a
1512055920
hexb8edf68

193912680 has 64 divisors (see below), whose sum is σ = 626492160. Its totient is φ = 47731968.

The previous prime is 193912679. The next prime is 193912699. The reversal of 193912680 is 86219391.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60592 + ... + 63711.

It is an arithmetic number, because the mean of its divisors is an integer number (9788940).

Almost surely, 2193912680 is an apocalyptic number.

193912680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

193912680 is an abundant number, since it is smaller than the sum of its proper divisors (432579480).

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

193912680 is a wasteful number, since it uses less digits than its factorization.

193912680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124330 (or 124326 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 193912680 is about 13925.2533190603. The cubic root of 193912680 is about 578.8091698729.

The spelling of 193912680 in words is "one hundred ninety-three million, nine hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 124303 248606 372909 497212 621515 745818 994424 1243030 1491636 1615939 1864545 2486060 2983272 3231878 3729090 4847817 4972120 6463756 7458180 8079695 9695634 12927512 14916360 16159390 19391268 24239085 32318780 38782536 48478170 64637560 96956340 193912680