Search a number
-
+
19014336 = 2632113001
BaseRepresentation
bin100100010001…
…0001011000000
31022210000202200
41020202023000
514331424321
61515313200
7320422245
oct110421300
938700680
1019014336
11a807830
12644b800
133c298b3
14274d5cc
151a08d26
hex12222c0

19014336 has 84 divisors (see below), whose sum is σ = 59475624. Its totient is φ = 5760000.

The previous prime is 19014319. The next prime is 19014341. The reversal of 19014336 is 63341091.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 4836 + ... + 7836.

Almost surely, 219014336 is an apocalyptic number.

19014336 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 19014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29737812).

19014336 is an abundant number, since it is smaller than the sum of its proper divisors (40461288).

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

19014336 is a wasteful number, since it uses less digits than its factorization.

19014336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 19014336 is about 4360.5430854425. The cubic root of 19014336 is about 266.9072606420.

The spelling of 19014336 in words is "nineteen million, fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3001 3168 6002 6336 9003 12004 18006 24008 27009 33011 36012 48016 54018 66022 72024 96032 99033 108036 132044 144048 192064 198066 216072 264088 288096 297099 396132 432144 528176 576192 594198 792264 864288 1056352 1188396 1584528 1728576 2112704 2376792 3169056 4753584 6338112 9507168 19014336