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19068840 = 23325722347
BaseRepresentation
bin100100010111…
…1011110101000
31022212210112100
41020233132220
514340200330
61520413400
7321040200
oct110573650
938783470
1019068840
11a84477a
126477260
133c4864b
142765400
151a1a060
hex122f7a8

19068840 has 288 divisors, whose sum is σ = 76826880. Its totient is φ = 4080384.

The previous prime is 19068839. The next prime is 19068851. The reversal of 19068840 is 4886091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19068795 and 19068804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 405697 + ... + 405743.

It is an arithmetic number, because the mean of its divisors is an integer number (266760).

Almost surely, 219068840 is an apocalyptic number.

19068840 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 19068840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38413440).

19068840 is an abundant number, since it is smaller than the sum of its proper divisors (57758040).

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

19068840 is a wasteful number, since it uses less digits than its factorization.

19068840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 19068840 is about 4366.7882934715. The cubic root of 19068840 is about 267.1620444611.

The spelling of 19068840 in words is "nineteen million, sixty-eight thousand, eight hundred forty".