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19616016 = 243779739
BaseRepresentation
bin100101011010…
…1000100010000
31100220121010010
41022311010100
520010203031
61540234520
7325506360
oct112650420
940817103
1019616016
1110088892
12669ba40
1340aa714
1428689a0
151ac7246
hex12b5110

19616016 has 80 divisors (see below), whose sum is σ = 58726400. Its totient is φ = 5526144.

The previous prime is 19615993. The next prime is 19616017. The reversal of 19616016 is 61061691.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (19616017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26175 + ... + 26913.

It is an arithmetic number, because the mean of its divisors is an integer number (734080).

Almost surely, 219616016 is an apocalyptic number.

19616016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19616016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29363200).

19616016 is an abundant number, since it is smaller than the sum of its proper divisors (39110384).

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

19616016 is a wasteful number, since it uses less digits than its factorization.

19616016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 19616016 is about 4428.9971776916. The cubic root of 19616016 is about 269.6933693219.

The spelling of 19616016 in words is "nineteen million, six hundred sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 739 948 1106 1264 1478 1659 1896 2212 2217 2956 3318 3792 4424 4434 5173 5912 6636 8848 8868 10346 11824 13272 15519 17736 20692 26544 31038 35472 41384 58381 62076 82768 116762 124152 175143 233524 248304 350286 408667 467048 700572 817334 934096 1226001 1401144 1634668 2452002 2802288 3269336 4904004 6538672 9808008 19616016