Search a number
-
+
19027764 = 2233725169
BaseRepresentation
bin100100010010…
…1011100110100
31022210201012000
41020211130310
514332342024
61515455300
7320506350
oct110453464
938721160
1019027764
11a816928
126457530
133c32a42
142754460
151a0ccc9
hex1225734

19027764 has 48 divisors (see below), whose sum is σ = 56380800. Its totient is φ = 5436288.

The previous prime is 19027763. The next prime is 19027781. The reversal of 19027764 is 46772091.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19027763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11829 + ... + 13340.

It is an arithmetic number, because the mean of its divisors is an integer number (1174600).

Almost surely, 219027764 is an apocalyptic number.

19027764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

19027764 is an abundant number, since it is smaller than the sum of its proper divisors (37353036).

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

19027764 is a wasteful number, since it uses less digits than its factorization.

19027764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25189 (or 25181 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 19027764 is about 4362.0825301684. The cubic root of 19027764 is about 266.9700761818.

It can be divided in two parts, 19027 and 764, that added together give a palindrome (19791).

The spelling of 19027764 in words is "nineteen million, twenty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 25169 50338 75507 100676 151014 176183 226521 302028 352366 453042 528549 679563 704732 906084 1057098 1359126 1585647 2114196 2718252 3171294 4756941 6342588 9513882 19027764