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19063040 = 28553281
BaseRepresentation
bin100100010111…
…0000100000000
31022212111120112
41020232010000
514340004130
61520330452
7321014243
oct110560400
938774515
1019063040
11a840387
126473a28
133c45b09
14276325a
151a18495
hex122e100

19063040 has 72 divisors (see below), whose sum is σ = 46689048. Its totient is φ = 7454720.

The previous prime is 19063039. The next prime is 19063117. The reversal of 19063040 is 4036091.

It can be written as a sum of positive squares in 4 ways, for example, as 4804864 + 14258176 = 2192^2 + 3776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 19062997 and 19063015.

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 7 ways as a sum of consecutive naturals, for example, 67700 + ... + 67980.

It is an arithmetic number, because the mean of its divisors is an integer number (648459).

Almost surely, 219063040 is an apocalyptic number.

19063040 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 19063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23344524).

19063040 is an abundant number, since it is smaller than the sum of its proper divisors (27626008).

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

19063040 is an equidigital number, since it uses as much as digits as its factorization.

19063040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 19063040 is about 4366.1241393254. The cubic root of 19063040 is about 267.1349549442.

The spelling of 19063040 in words is "nineteen million, sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 281 320 424 530 562 640 848 1060 1124 1280 1405 1696 2120 2248 2810 3392 4240 4496 5620 6784 8480 8992 11240 13568 14893 16960 17984 22480 29786 33920 35968 44960 59572 67840 71936 74465 89920 119144 148930 179840 238288 297860 359680 476576 595720 953152 1191440 1906304 2382880 3812608 4765760 9531520 19063040