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19921416 = 23317157311
BaseRepresentation
bin100101111111…
…1101000001000
31101111010001020
41023333220020
520044441131
61550552440
7331220634
oct113775010
941433036
1019921416
1110277289
126808720
134186728
142907dc4
151b37996
hex12ffa08

19921416 has 64 divisors (see below), whose sum is σ = 53239680. Its totient is φ = 6190080.

The previous prime is 19921387. The next prime is 19921417. The reversal of 19921416 is 61412991.

It is not an unprimeable number, because it can be changed into a prime (19921417) 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 15 ways as a sum of consecutive naturals, for example, 63901 + ... + 64211.

It is an arithmetic number, because the mean of its divisors is an integer number (831870).

Almost surely, 219921416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19921416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26619840).

19921416 is an abundant number, since it is smaller than the sum of its proper divisors (33318264).

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

19921416 is a wasteful number, since it uses less digits than its factorization.

19921416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 490 counting only the distinct ones).

The product of its digits is 3888, while the sum is 33.

The square root of 19921416 is about 4463.3413492584. The cubic root of 19921416 is about 271.0857786855.

The spelling of 19921416 in words is "nineteen million, nine hundred twenty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 157 204 311 314 408 471 622 628 933 942 1244 1256 1866 1884 2488 2669 3732 3768 5287 5338 7464 8007 10574 10676 15861 16014 21148 21352 31722 32028 42296 48827 63444 64056 97654 126888 146481 195308 292962 390616 585924 830059 1171848 1660118 2490177 3320236 4980354 6640472 9960708 19921416