Search a number
-
+
19956564 = 2233257719
BaseRepresentation
bin100110000100…
…0001101010100
31101112220021000
41030020031110
520102102224
61551423300
7331425255
oct114101524
941486230
1019956564
11102a0731
126824b30
134199724
142916b2c
151b430c9
hex1308354

19956564 has 48 divisors (see below), whose sum is σ = 52012800. Its totient is φ = 6617088.

The previous prime is 19956557. The next prime is 19956569. The reversal of 19956564 is 46565991.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19956569) 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, 27397 + ... + 28115.

It is an arithmetic number, because the mean of its divisors is an integer number (1083600).

Almost surely, 219956564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19956564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26006400).

19956564 is an abundant number, since it is smaller than the sum of its proper divisors (32056236).

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

19956564 is a wasteful number, since it uses less digits than its factorization.

19956564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 19956564 is about 4467.2770229750. The cubic root of 19956564 is about 271.2451134912.

The spelling of 19956564 in words is "nineteen million, nine hundred fifty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 257 514 719 771 1028 1438 1542 2157 2313 2876 3084 4314 4626 6471 6939 8628 9252 12942 13878 19413 25884 27756 38826 77652 184783 369566 554349 739132 1108698 1663047 2217396 3326094 4989141 6652188 9978282 19956564