Search a number
-
+
19050066 = 2347107157
BaseRepresentation
bin100100010101…
…0111001010010
31022211211210000
41020222321102
514334100231
61520150430
7320631360
oct110527122
938754700
1019050066
11a831662
126468416
133c3cc39
14275c630
151a146e6
hex122ae52

19050066 has 80 divisors (see below), whose sum is σ = 49553856. Its totient is φ = 5357664.

The previous prime is 19050061. The next prime is 19050091. The reversal of 19050066 is 66005091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (19050061) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 121260 + ... + 121416.

Almost surely, 219050066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19050066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24776928).

19050066 is an abundant number, since it is smaller than the sum of its proper divisors (30503790).

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

19050066 is a wasteful number, since it uses less digits than its factorization.

19050066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 19050066 is about 4364.6381293299. The cubic root of 19050066 is about 267.0743385987.

The spelling of 19050066 in words is "nineteen million, fifty thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 107 126 157 162 189 214 314 321 378 471 567 642 749 942 963 1099 1134 1413 1498 1926 2198 2247 2826 2889 3297 4239 4494 5778 6594 6741 8478 8667 9891 12717 13482 16799 17334 19782 20223 25434 29673 33598 40446 50397 59346 60669 89019 100794 117593 121338 151191 178038 235186 302382 352779 453573 705558 907146 1058337 1360719 2116674 2721438 3175011 6350022 9525033 19050066