[go: up one dir, main page]

Search a number
-
+
19431240 = 2335193839
BaseRepresentation
bin100101000011…
…1111101001000
31100120012122120
41022013331020
514433244430
61532251240
7324106563
oct112077510
940505576
1019431240
11aa71a84
126610b20
13404459a
14281b4da
151a8c610
hex1287f48

19431240 has 64 divisors (see below), whose sum is σ = 58665600. Its totient is φ = 5148672.

The previous prime is 19431233. The next prime is 19431241. The reversal of 19431240 is 4213491.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 19431240.

It is not an unprimeable number, because it can be changed into a prime (19431241) 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, 22741 + ... + 23579.

It is an arithmetic number, because the mean of its divisors is an integer number (916650).

Almost surely, 219431240 is an apocalyptic number.

19431240 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 19431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29332800).

19431240 is an abundant number, since it is smaller than the sum of its proper divisors (39234360).

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

19431240 is a wasteful number, since it uses less digits than its factorization.

19431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 19431240 is about 4408.0880208998. The cubic root of 19431240 is about 268.8438907567.

The spelling of 19431240 in words is "nineteen million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 839 965 1158 1544 1678 1930 2316 2517 2895 3356 3860 4195 4632 5034 5790 6712 7720 8390 10068 11580 12585 16780 20136 23160 25170 33560 50340 100680 161927 323854 485781 647708 809635 971562 1295416 1619270 1943124 2428905 3238540 3886248 4857810 6477080 9715620 19431240