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19992096 = 2536857
BaseRepresentation
bin100110001000…
…0111000100000
31101121201000000
41030100320200
520104221341
61552300000
7331633665
oct114207040
941551000
1019992096
11103153a3
126841600
1341ac957
142925a6c
151b4d8b6
hex1310e20

19992096 has 84 divisors (see below), whose sum is σ = 59081022. Its totient is φ = 6656256.

The previous prime is 19992067. The next prime is 19992103. The reversal of 19992096 is 69029991.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 7290000 = 3564^2 + 2700^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22900 + ... + 23756.

Almost surely, 219992096 is an apocalyptic number.

19992096 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 19992096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29540511).

19992096 is an abundant number, since it is smaller than the sum of its proper divisors (39088926).

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

19992096 is an frugal number, since it uses more digits than its factorization.

19992096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The square root of 19992096 is about 4471.2521736086. The cubic root of 19992096 is about 271.4059990199.

It can be divided in two parts, 1999 and 2096, that added together give a triangular number (4095 = T90).

The spelling of 19992096 in words is "nineteen million, nine hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 857 864 972 1296 1458 1714 1944 2571 2592 2916 3428 3888 5142 5832 6856 7713 7776 10284 11664 13712 15426 20568 23139 23328 27424 30852 41136 46278 61704 69417 82272 92556 123408 138834 185112 208251 246816 277668 370224 416502 555336 624753 740448 833004 1110672 1249506 1666008 2221344 2499012 3332016 4998024 6664032 9996048 19992096