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16904628 = 22321341881
BaseRepresentation
bin100000001111…
…1000110110100
31011210211210100
41000133012310
513311422003
61402154100
7263454426
oct100370664
934724710
1016904628
1195a6774
1257b2930
13366b550
142360816
15173dba3
hex101f1b4

16904628 has 72 divisors (see below), whose sum is σ = 47194056. Its totient is φ = 5068800.

The previous prime is 16904611. The next prime is 16904663. The reversal of 16904628 is 82640961.

It can be written as a sum of positive squares in 4 ways, for example, as 1127844 + 15776784 = 1062^2 + 3972^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 16904592 and 16904601.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18748 + ... + 19628.

It is an arithmetic number, because the mean of its divisors is an integer number (655473).

Almost surely, 216904628 is an apocalyptic number.

16904628 is a gapful number since it is divisible by the number (18) 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 16904628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23597028).

16904628 is an abundant number, since it is smaller than the sum of its proper divisors (30289428).

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

16904628 is a wasteful number, since it uses less digits than its factorization.

16904628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 16904628 is about 4111.5238051117. The cubic root of 16904628 is about 256.6464173227.

The spelling of 16904628 in words is "sixteen million, nine hundred four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 881 1066 1476 1599 1762 2132 2643 3198 3524 4797 5286 6396 7929 9594 10572 11453 15858 19188 22906 31716 34359 36121 45812 68718 72242 103077 108363 137436 144484 206154 216726 325089 412308 433452 469573 650178 939146 1300356 1408719 1878292 2817438 4226157 5634876 8452314 16904628