Search a number
-
+
19149960 = 2335533011
BaseRepresentation
bin100100100001…
…1010010001000
31100000220210210
41021003102020
514400244320
61522241120
7321525534
oct111032210
940026723
1019149960
11a89a715
1264b61a0
133c7654b
142786bc4
151a340e0
hex1243488

19149960 has 64 divisors (see below), whose sum is σ = 58553280. Its totient is φ = 5008640.

The previous prime is 19149959. The next prime is 19149983. The reversal of 19149960 is 6994191.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4855 + ... + 7865.

It is an arithmetic number, because the mean of its divisors is an integer number (914895).

Almost surely, 219149960 is an apocalyptic number.

19149960 is a gapful number since it is divisible by the number (10) 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 19149960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29276640).

19149960 is an abundant number, since it is smaller than the sum of its proper divisors (39403320).

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

19149960 is a wasteful number, since it uses less digits than its factorization.

19149960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3078 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 39.

The square root of 19149960 is about 4376.0667270964. The cubic root of 19149960 is about 267.5403496941.

The spelling of 19149960 in words is "nineteen million, one hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3011 3180 6022 6360 9033 12044 15055 18066 24088 30110 36132 45165 60220 72264 90330 120440 159583 180660 319166 361320 478749 638332 797915 957498 1276664 1595830 1914996 2393745 3191660 3829992 4787490 6383320 9574980 19149960