Search a number
-
+
19128320 = 2135467
BaseRepresentation
bin100100011111…
…0000000000000
31022222211010022
41020332000000
514344101240
61521553012
7321405461
oct110760000
938884108
1019128320
11a885432
1264a5768
133c69743
14277cd68
151a2c9b5
hex123e000

19128320 has 56 divisors (see below), whose sum is σ = 46003464. Its totient is φ = 7634944.

The previous prime is 19128293. The next prime is 19128337. The reversal of 19128320 is 2382191.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 19128320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40727 + ... + 41193.

Almost surely, 219128320 is an apocalyptic number.

19128320 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 19128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23001732).

19128320 is an abundant number, since it is smaller than the sum of its proper divisors (26875144).

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

19128320 is an frugal number, since it uses more digits than its factorization.

19128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 19128320 is about 4373.5934881971. The cubic root of 19128320 is about 267.4395356396.

The spelling of 19128320 in words is "nineteen million, one hundred twenty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 467 512 640 934 1024 1280 1868 2048 2335 2560 3736 4096 4670 5120 7472 8192 9340 10240 14944 18680 20480 29888 37360 40960 59776 74720 119552 149440 239104 298880 478208 597760 956416 1195520 1912832 2391040 3825664 4782080 9564160 19128320