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19016040 = 23351071481
BaseRepresentation
bin100100010001…
…0100101101000
31022210010002210
41020202211220
514332003130
61515325120
7320430231
oct110424550
938703083
1019016040
11a80903a
1264507a0
133c2a5c4
142750088
151a095b0
hex1222968

19016040 has 64 divisors (see below), whose sum is σ = 57620160. Its totient is φ = 5020160.

The previous prime is 19016033. The next prime is 19016057. The reversal of 19016040 is 4061091.

It is a junction number, because it is equal to n+sod(n) for n = 19015998 and 19016016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12100 + ... + 13580.

It is an arithmetic number, because the mean of its divisors is an integer number (900315).

Almost surely, 219016040 is an apocalyptic number.

19016040 is a gapful number since it is divisible by the number (10) 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 19016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28810080).

19016040 is an abundant number, since it is smaller than the sum of its proper divisors (38604120).

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

19016040 is a wasteful number, since it uses less digits than its factorization.

19016040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 19016040 is about 4360.7384695714. The cubic root of 19016040 is about 266.9152335103.

The spelling of 19016040 in words is "nineteen million, sixteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 856 1070 1284 1481 1605 2140 2568 2962 3210 4280 4443 5924 6420 7405 8886 11848 12840 14810 17772 22215 29620 35544 44430 59240 88860 158467 177720 316934 475401 633868 792335 950802 1267736 1584670 1901604 2377005 3169340 3803208 4754010 6338680 9508020 19016040