Search a number
-
+
19314680 = 2357116271
BaseRepresentation
bin100100110101…
…1011111111000
31100100021202112
41021223133320
514421032210
61525551452
7323113010
oct111533770
940307675
1019314680
11a9a2450
126575588
134003508
1427cac40
151a67d05
hex126b7f8

19314680 has 64 divisors (see below), whose sum is σ = 54190080. Its totient is φ = 6019200.

The previous prime is 19314679. The next prime is 19314689. The reversal of 19314680 is 8641391.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19314689) 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, 56 + ... + 6215.

It is an arithmetic number, because the mean of its divisors is an integer number (846720).

Almost surely, 219314680 is an apocalyptic number.

19314680 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 19314680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27095040).

19314680 is an abundant number, since it is smaller than the sum of its proper divisors (34875400).

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

19314680 is a wasteful number, since it uses less digits than its factorization.

19314680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 19314680 is about 4394.8469825467. The cubic root of 19314680 is about 268.3052510594.

Subtracting from 19314680 its reverse (8641391), we obtain a square (10673289 = 32672).

The spelling of 19314680 in words is "nineteen million, three hundred fourteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 6271 12542 25084 31355 43897 50168 62710 68981 87794 125420 137962 175588 219485 250840 275924 344905 351176 438970 482867 551848 689810 877940 965734 1379620 1755880 1931468 2414335 2759240 3862936 4828670 9657340 19314680