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16939008 = 21132919
BaseRepresentation
bin100000010011…
…1100000000000
31011212120221200
41000213200000
513314022013
61403021200
7263656602
oct100474000
934776850
1016939008
11961a589
12580a800
1336810a8
14236d172
151748e73
hex1027800

16939008 has 72 divisors (see below), whose sum is σ = 48976200. Its totient is φ = 5640192.

The previous prime is 16939001. The next prime is 16939037. The reversal of 16939008 is 80093961.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16939001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17973 + ... + 18891.

It is an arithmetic number, because the mean of its divisors is an integer number (680225).

Almost surely, 216939008 is an apocalyptic number.

16939008 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 16939008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24488100).

16939008 is an abundant number, since it is smaller than the sum of its proper divisors (32037192).

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

16939008 is an equidigital number, since it uses as much as digits as its factorization.

16939008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 16939008 is about 4115.7026131634. The cubic root of 16939008 is about 256.8202854677.

It can be divided in two parts, 1693 and 9008, that added together give a palindrome (10701).

The spelling of 16939008 in words is "sixteen million, nine hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 919 1024 1152 1536 1838 2048 2304 2757 3072 3676 4608 5514 6144 7352 8271 9216 11028 14704 16542 18432 22056 29408 33084 44112 58816 66168 88224 117632 132336 176448 235264 264672 352896 470528 529344 705792 941056 1058688 1411584 1882112 2117376 2823168 4234752 5646336 8469504 16939008