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19059144 = 23313237127
BaseRepresentation
bin100100010110…
…1000111001000
31022212022020020
41020231013020
514334343034
61520300440
7321000006
oct110550710
938768206
1019059144
11a838465
126471720
133c44100
142761a76
151a17249
hex122d1c8

19059144 has 96 divisors (see below), whose sum is σ = 53406720. Its totient is φ = 5660928.

The previous prime is 19059143. The next prime is 19059149. The reversal of 19059144 is 44195091.

It is not an unprimeable number, because it can be changed into a prime (19059143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150009 + ... + 150135.

It is an arithmetic number, because the mean of its divisors is an integer number (556320).

Almost surely, 219059144 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 19059144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26703360).

19059144 is an abundant number, since it is smaller than the sum of its proper divisors (34347576).

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

19059144 is a wasteful number, since it uses less digits than its factorization.

19059144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 19059144 is about 4365.6779542243. The cubic root of 19059144 is about 267.1167551766.

The spelling of 19059144 in words is "nineteen million, fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 127 148 156 169 222 254 296 312 338 381 444 481 507 508 676 762 888 962 1014 1016 1352 1443 1524 1651 1924 2028 2886 3048 3302 3848 4056 4699 4953 5772 6253 6604 9398 9906 11544 12506 13208 14097 18759 18796 19812 21463 25012 28194 37518 37592 39624 42926 50024 56388 61087 64389 75036 85852 112776 122174 128778 150072 171704 183261 244348 257556 366522 488696 515112 733044 794131 1466088 1588262 2382393 3176524 4764786 6353048 9529572 19059144