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19889664 = 29323563
BaseRepresentation
bin100101111011…
…1111000000000
31101102111111020
41023313320000
520042432124
61550145440
7331026234
oct113677000
941374436
1019889664
1110255443
1267b2280
134175142
1428da5c4
151b2d379
hex12f7e00

19889664 has 80 divisors (see below), whose sum is σ = 55389312. Its totient is φ = 6330368.

The previous prime is 19889663. The next prime is 19889689. The reversal of 19889664 is 46698891.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19889663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35047 + ... + 35609.

Almost surely, 219889664 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 19889664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27694656).

19889664 is an abundant number, since it is smaller than the sum of its proper divisors (35499648).

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

19889664 is an equidigital number, since it uses as much as digits as its factorization.

19889664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 591 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 19889664 is about 4459.7829543600. The cubic root of 19889664 is about 270.9416776041.

The spelling of 19889664 in words is "nineteen million, eight hundred eighty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 563 736 768 1104 1126 1472 1536 1689 2208 2252 2944 3378 4416 4504 5888 6756 8832 9008 11776 12949 13512 17664 18016 25898 27024 35328 36032 38847 51796 54048 72064 77694 103592 108096 144128 155388 207184 216192 288256 310776 414368 432384 621552 828736 864768 1243104 1657472 2486208 3314944 4972416 6629888 9944832 19889664