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16290904 = 2371961251
BaseRepresentation
bin111110001001…
…010001011000
31010122122220211
4332021101120
513132302104
61341100504
7255320230
oct76112130
933578824
1016290904
119217663
125557734
1334b50b6
142240cc0
15166be04
hexf89458

16290904 has 64 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 6480000.

The previous prime is 16290893. The next prime is 16290907. The reversal of 16290904 is 40909261.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16290907) 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, 64779 + ... + 65029.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 216290904 is an apocalyptic number.

16290904 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 16290904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

16290904 is an abundant number, since it is smaller than the sum of its proper divisors (21206696).

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

16290904 is a wasteful number, since it uses less digits than its factorization.

16290904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 16290904 is about 4036.1992022198. The cubic root of 16290904 is about 253.5021973571.

The spelling of 16290904 in words is "sixteen million, two hundred ninety thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 19 28 38 56 61 76 122 133 152 244 251 266 427 488 502 532 854 1004 1064 1159 1708 1757 2008 2318 3416 3514 4636 4769 7028 8113 9272 9538 14056 15311 16226 19076 30622 32452 33383 38152 61244 64904 66766 107177 122488 133532 214354 267064 290909 428708 581818 857416 1163636 2036363 2327272 4072726 8145452 16290904