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16889634 = 234137761
BaseRepresentation
bin100000001101…
…1011100100010
31011210002020000
41000123130202
513310432014
61402000430
7263362626
oct100333442
934702200
1016889634
119596483
1257a6116
133664788
142359186
151739509
hex101b722

16889634 has 40 divisors (see below), whose sum is σ = 38171628. Its totient is φ = 5581440.

The previous prime is 16889633. The next prime is 16889641. The reversal of 16889634 is 43698861.

16889634 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 9 + 634 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15186609 + 1703025 = 3897^2 + 1305^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 16889634.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16889633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21814 + ... + 22574.

Almost surely, 216889634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16889634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19085814).

16889634 is an abundant number, since it is smaller than the sum of its proper divisors (21281994).

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

16889634 is a wasteful number, since it uses less digits than its factorization.

16889634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 903 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 16889634 is about 4109.6999890503. The cubic root of 16889634 is about 256.5705151362.

The spelling of 16889634 in words is "sixteen million, eight hundred eighty-nine thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 761 822 1233 1522 2283 2466 3699 4566 6849 7398 11097 13698 20547 22194 41094 61641 104257 123282 208514 312771 625542 938313 1876626 2814939 5629878 8444817 16889634