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19927314 = 23211195297
BaseRepresentation
bin100110000000…
…1000100010010
31101111102010200
41030001010102
520100133224
61551040030
7331244061
oct114010422
941442120
1019927314
1110280760
126810016
134189314
14290a1d8
151b395c9
hex1301112

19927314 has 48 divisors (see below), whose sum is σ = 49589280. Its totient is φ = 5719680.

The previous prime is 19927301. The next prime is 19927331. The reversal of 19927314 is 41372991.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1114 + ... + 6410.

It is an arithmetic number, because the mean of its divisors is an integer number (1033110).

Almost surely, 219927314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19927314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24794640).

19927314 is an abundant number, since it is smaller than the sum of its proper divisors (29661966).

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

19927314 is a wasteful number, since it uses less digits than its factorization.

19927314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5332 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 19927314 is about 4464.0020161286. The cubic root of 19927314 is about 271.1125288951.

The spelling of 19927314 in words is "nineteen million, nine hundred twenty-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3762 5297 10594 15891 31782 47673 58267 95346 100643 116534 174801 201286 301929 349602 524403 603858 905787 1048806 1107073 1811574 2214146 3321219 6642438 9963657 19927314