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189663768 = 2334741813
BaseRepresentation
bin10110100111000…
…00101000011000
3111012212220210000
423103200220120
5342023220033
630453053000
74462054410
oct1323405030
9435786700
10189663768
1198073218
1253627160
13303a86a8
141b291640
15119b6a13
hexb4e0a18

189663768 has 80 divisors (see below), whose sum is σ = 607139280. Its totient is φ = 54188352.

The previous prime is 189663763. The next prime is 189663779. The reversal of 189663768 is 867366981.

It is a happy number.

189663768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189663763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16371 + ... + 25442.

It is an arithmetic number, because the mean of its divisors is an integer number (7589241).

Almost surely, 2189663768 is an apocalyptic number.

189663768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

189663768 is an abundant number, since it is smaller than the sum of its proper divisors (417475512).

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

189663768 is a wasteful number, since it uses less digits than its factorization.

189663768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41838 (or 41825 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 189663768 is about 13771.8469349612. The cubic root of 189663768 is about 574.5503913151.

The spelling of 189663768 in words is "one hundred eighty-nine million, six hundred sixty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 41813 83626 125439 167252 250878 292691 334504 376317 501756 585382 752634 878073 1003512 1128951 1170764 1505268 1756146 2257902 2341528 2634219 3010536 3386853 3512292 4515804 5268438 6773706 7024584 7902657 9031608 10536876 13547412 15805314 21073752 23707971 27094824 31610628 47415942 63221256 94831884 189663768