Search a number
-
+
19942260 = 22351337691
BaseRepresentation
bin100110000010…
…0101101110100
31101112011122020
41030010231310
520101123020
61551233140
7331335462
oct114045564
941464566
1019942260
1110290a08
1268187b0
134193070
142911832
151b3dc40
hex1304b74

19942260 has 96 divisors (see below), whose sum is σ = 61848192. Its totient is φ = 4769280.

The previous prime is 19942259. The next prime is 19942283. The reversal of 19942260 is 6224991.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28515 + ... + 29205.

It is an arithmetic number, because the mean of its divisors is an integer number (644252).

Almost surely, 219942260 is an apocalyptic number.

19942260 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 19942260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30924096).

19942260 is an abundant number, since it is smaller than the sum of its proper divisors (41905932).

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

19942260 is a wasteful number, since it uses less digits than its factorization.

19942260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 19942260 is about 4465.6757607332. The cubic root of 19942260 is about 271.1802924220.

It can be divided in two parts, 19942 and 260, that added together give a palindrome (20202).

The spelling of 19942260 in words is "nineteen million, nine hundred forty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 691 740 780 962 1110 1382 1443 1924 2073 2220 2405 2764 2886 3455 4146 4810 5772 6910 7215 8292 8983 9620 10365 13820 14430 17966 20730 25567 26949 28860 35932 41460 44915 51134 53898 76701 89830 102268 107796 127835 134745 153402 179660 255670 269490 306804 332371 383505 511340 538980 664742 767010 997113 1329484 1534020 1661855 1994226 3323710 3988452 4985565 6647420 9971130 19942260