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16839040 = 27583317
BaseRepresentation
bin100000000111…
…1000110000000
31011200111211011
41000033012000
513302322130
61400530304
7263062261
oct100170600
934614734
1016839040
119561469
125780994
13364773a
142344968
15172952a
hex100f180

16839040 has 64 divisors (see below), whose sum is σ = 40869360. Its totient is φ = 6633472.

The previous prime is 16839037. The next prime is 16839049. The reversal of 16839040 is 4093861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 16838993 and 16839011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16839049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52962 + ... + 53278.

Almost surely, 216839040 is an apocalyptic number.

16839040 is a gapful number since it is divisible by the number (10) 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 16839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20434680).

16839040 is an abundant number, since it is smaller than the sum of its proper divisors (24030320).

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

16839040 is an equidigital number, since it uses as much as digits as its factorization.

16839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 16839040 is about 4103.5399352267. The cubic root of 16839040 is about 256.3140676608.

It can be divided in two parts, 16 and 839040, that added together give a square (839056 = 9162).

The spelling of 16839040 in words is "sixteen million, eight hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 317 320 332 415 634 640 664 830 1268 1328 1585 1660 2536 2656 3170 3320 5072 5312 6340 6640 10144 10624 12680 13280 20288 25360 26311 26560 40576 50720 52622 53120 101440 105244 131555 202880 210488 263110 420976 526220 841952 1052440 1683904 2104880 3367808 4209760 8419520 16839040