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19097144 = 2311416779
BaseRepresentation
bin100100011011…
…0011000111000
31022221020100122
41020312120320
514342102034
61521152412
7321215543
oct110663070
938836318
1019097144
11a863a70
12648b708
133c584b1
14277185a
151a2362e
hex1236638

19097144 has 64 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 8236800.

The previous prime is 19097131. The next prime is 19097159. The reversal of 19097144 is 44179091.

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 15 ways as a sum of consecutive naturals, for example, 241697 + ... + 241775.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 219097144 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 19097144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

19097144 is an abundant number, since it is smaller than the sum of its proper divisors (22029256).

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

19097144 is a wasteful number, since it uses less digits than its factorization.

19097144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 35.

The square root of 19097144 is about 4370.0279175310. The cubic root of 19097144 is about 267.2941625530.

The spelling of 19097144 in words is "nineteen million, ninety-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 41 44 67 79 82 88 134 158 164 268 316 328 451 536 632 737 869 902 1474 1738 1804 2747 2948 3239 3476 3608 5293 5494 5896 6478 6952 10586 10988 12956 21172 21976 25912 30217 35629 42344 58223 60434 71258 116446 120868 142516 217013 232892 241736 285032 434026 465784 868052 1736104 2387143 4774286 9548572 19097144