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19054128 = 243715591
BaseRepresentation
bin100100010101…
…1111000110000
31022212001100110
41020223320300
514334213003
61520221320
7320646252
oct110537060
938761313
1019054128
11a834715
12646a840
133c41a42
14275dcd2
151a15a03
hex122be30

19054128 has 40 divisors (see below), whose sum is σ = 49925376. Its totient is φ = 6260800.

The previous prime is 19054069. The next prime is 19054151. The reversal of 19054128 is 82145091.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19054095 and 19054104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 613 + ... + 6203.

Almost surely, 219054128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19054128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24962688).

19054128 is an abundant number, since it is smaller than the sum of its proper divisors (30871248).

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

19054128 is a wasteful number, since it uses less digits than its factorization.

19054128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673 (or 5667 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 19054128 is about 4365.1034352006. The cubic root of 19054128 is about 267.0933197904.

The spelling of 19054128 in words is "nineteen million, fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 5591 11182 16773 22364 33546 44728 67092 89456 134184 268368 396961 793922 1190883 1587844 2381766 3175688 4763532 6351376 9527064 19054128