Search a number
-
+
19114128 = 24321121097
BaseRepresentation
bin100100011101…
…0100010010000
31022222002122200
41020322202100
514343123003
61521403200
7321316215
oct110724220
938862580
1019114128
11a875800
126499500
133c63147
142777b0c
151a286a3
hex123a890

19114128 has 90 divisors (see below), whose sum is σ = 58851702. Its totient is φ = 5786880.

The previous prime is 19114111. The next prime is 19114177. The reversal of 19114128 is 82141191.

It can be written as a sum of positive squares in only one way, i.e., 14653584 + 4460544 = 3828^2 + 2112^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16876 + ... + 17972.

Almost surely, 219114128 is an apocalyptic number.

19114128 is a gapful number since it is divisible by the number (18) 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 19114128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29425851).

19114128 is an abundant number, since it is smaller than the sum of its proper divisors (39737574).

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

19114128 is a wasteful number, since it uses less digits than its factorization.

19114128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1113 counting only the distinct ones).

The product of its digits is 576, while the sum is 27.

The square root of 19114128 is about 4371.9707226833. The cubic root of 19114128 is about 267.3733782187.

The spelling of 19114128 in words is "nineteen million, one hundred fourteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1097 1452 1584 1936 2178 2194 2904 3291 4356 4388 5808 6582 8712 8776 9873 12067 13164 17424 17552 19746 24134 26328 36201 39492 48268 52656 72402 78984 96536 108603 132737 144804 157968 193072 217206 265474 289608 398211 434412 530948 579216 796422 868824 1061896 1194633 1592844 1737648 2123792 2389266 3185688 4778532 6371376 9557064 19114128