Search a number
-
+
19140480 = 273253323
BaseRepresentation
bin100100100000…
…0111110000000
31100000102210200
41021000332000
514344443410
61522125200
7321456102
oct111007600
940012720
1019140480
11a893587
1264b0800
133c72138
142783572
151a313c0
hex1240f80

19140480 has 96 divisors (see below), whose sum is σ = 66114360. Its totient is φ = 5102592.

The previous prime is 19140469. The next prime is 19140497. The reversal of 19140480 is 8404191.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4099 + ... + 7421.

Almost surely, 219140480 is an apocalyptic number.

19140480 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 19140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33057180).

19140480 is an abundant number, since it is smaller than the sum of its proper divisors (46973880).

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

19140480 is a wasteful number, since it uses less digits than its factorization.

19140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3333 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19140480 is about 4374.9834285400. The cubic root of 19140480 is about 267.4961946645.

The spelling of 19140480 in words is "nineteen million, one hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3323 5760 6646 9969 13292 16615 19938 26584 29907 33230 39876 49845 53168 59814 66460 79752 99690 106336 119628 132920 149535 159504 199380 212672 239256 265840 299070 319008 398760 425344 478512 531680 598140 638016 797520 957024 1063360 1196280 1276032 1595040 1914048 2126720 2392560 3190080 3828096 4785120 6380160 9570240 19140480