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19011664 = 247199853
BaseRepresentation
bin100100010000…
…1100001010000
31022202220002201
41020201201100
514331333124
61515252544
7320411410
oct110414120
938686081
1019011664
11a805821
12644a154
133c28609
14274c640
151a08144
hex1221850

19011664 has 40 divisors (see below), whose sum is σ = 42358400. Its totient is φ = 8097408.

The previous prime is 19011631. The next prime is 19011667. The reversal of 19011664 is 46611091.

It is a super-2 number, since 2×190116642 = 722886736097792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19011667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21862 + ... + 22714.

It is an arithmetic number, because the mean of its divisors is an integer number (1058960).

Almost surely, 219011664 is an apocalyptic number.

19011664 is a gapful number since it is divisible by the number (14) 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 19011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21179200).

19011664 is an abundant number, since it is smaller than the sum of its proper divisors (23346736).

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

19011664 is a wasteful number, since it uses less digits than its factorization.

19011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 19011664 is about 4360.2366908231. The cubic root of 19011664 is about 266.8947576266.

The spelling of 19011664 in words is "nineteen million, eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 398 796 853 1393 1592 1706 2786 3184 3412 5572 5971 6824 11144 11942 13648 22288 23884 47768 95536 169747 339494 678988 1188229 1357976 2376458 2715952 4752916 9505832 19011664