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16314660 = 22325233389
BaseRepresentation
bin111110001111…
…000100100100
31010200212111200
4332033010210
513134032120
61341402500
7255446415
oct76170444
933625450
1016314660
11923349a
125569430
1334c2b5b
14224980c
151673e90
hexf8f124

16314660 has 72 divisors (see below), whose sum is σ = 49827960. Its totient is φ = 4320768.

The previous prime is 16314653. The next prime is 16314671. The reversal of 16314660 is 6641361.

16314660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 16305444 = 96^2 + 4038^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41746 + ... + 42134.

It is an arithmetic number, because the mean of its divisors is an integer number (692055).

Almost surely, 216314660 is an apocalyptic number.

16314660 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 16314660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24913980).

16314660 is an abundant number, since it is smaller than the sum of its proper divisors (33513300).

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

16314660 is a wasteful number, since it uses less digits than its factorization.

16314660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 16314660 is about 4039.1409977865. The cubic root of 16314660 is about 253.6253596098.

The spelling of 16314660 in words is "sixteen million, three hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 233 389 466 699 778 932 1165 1167 1398 1556 1945 2097 2330 2334 2796 3495 3501 3890 4194 4660 4668 5835 6990 7002 7780 8388 10485 11670 13980 14004 17505 20970 23340 35010 41940 70020 90637 181274 271911 362548 453185 543822 815733 906370 1087644 1359555 1631466 1812740 2719110 3262932 4078665 5438220 8157330 16314660