Search a number
-
+
19476680 = 23531113139
BaseRepresentation
bin100101001001…
…1000011001000
31100122111222112
41022103003020
514441223210
61533241452
7324356216
oct112230310
940574875
1019476680
11aaa3133
126633288
13405c182
14282dcb6
151a9ad05
hex12930c8

19476680 has 64 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 7418880.

The previous prime is 19476673. The next prime is 19476683. The reversal of 19476680 is 8667491.

It is not an unprimeable number, because it can be changed into a prime (19476683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140051 + ... + 140189.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 219476680 is an apocalyptic number.

19476680 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 19476680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

19476680 is an abundant number, since it is smaller than the sum of its proper divisors (26488120).

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

19476680 is a wasteful number, since it uses less digits than its factorization.

19476680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 19476680 is about 4413.2391732151. The cubic root of 19476680 is about 269.0532916349.

The spelling of 19476680 in words is "nineteen million, four hundred seventy-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 113 124 139 155 226 248 278 310 452 556 565 620 695 904 1112 1130 1240 1390 2260 2780 3503 4309 4520 5560 7006 8618 14012 15707 17236 17515 21545 28024 31414 34472 35030 43090 62828 70060 78535 86180 125656 140120 157070 172360 314140 486917 628280 973834 1947668 2434585 3895336 4869170 9738340 19476680