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19130664 = 2337234951
BaseRepresentation
bin100100011111…
…0100100101000
31022222221100010
41020332210220
514344140124
61522011520
7321415350
oct110764450
938887303
1019130664
11a887173
1264a6ba0
133c6a827
14277db60
151a2d529
hex123e928

19130664 has 64 divisors (see below), whose sum is σ = 57047040. Its totient is φ = 5227200.

The previous prime is 19130659. The next prime is 19130669. The reversal of 19130664 is 46603191.

It is an interprime number because it is at equal distance from previous prime (19130659) and next prime (19130669).

It is not an unprimeable number, because it can be changed into a prime (19130669) 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, 1389 + ... + 6339.

It is an arithmetic number, because the mean of its divisors is an integer number (891360).

Almost surely, 219130664 is an apocalyptic number.

19130664 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 19130664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28523520).

19130664 is an abundant number, since it is smaller than the sum of its proper divisors (37916376).

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

19130664 is a wasteful number, since it uses less digits than its factorization.

19130664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4990 (or 4986 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 19130664 is about 4373.8614518524. The cubic root of 19130664 is about 267.4504592800.

The spelling of 19130664 in words is "nineteen million, one hundred thirty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 4951 9902 14853 19804 29706 34657 39608 59412 69314 103971 113873 118824 138628 207942 227746 277256 341619 415884 455492 683238 797111 831768 910984 1366476 1594222 2391333 2732952 3188444 4782666 6376888 9565332 19130664