Search a number
-
+
16214260 = 22517103463
BaseRepresentation
bin111101110110…
…100011110100
31010111202210011
4331312203310
513122324020
61335310004
7254550616
oct75664364
933452704
1016214260
119175017
12551b304
13348924a
142220db6
15165435a
hexf768f4

16214260 has 48 divisors (see below), whose sum is σ = 36481536. Its totient is φ = 6031872.

The previous prime is 16214207. The next prime is 16214267. The reversal of 16214260 is 6241261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16214267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34789 + ... + 35251.

It is an arithmetic number, because the mean of its divisors is an integer number (760032).

Almost surely, 216214260 is an apocalyptic number.

16214260 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 16214260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240768).

16214260 is an abundant number, since it is smaller than the sum of its proper divisors (20267276).

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

16214260 is a wasteful number, since it uses less digits than its factorization.

16214260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 16214260 is about 4026.6934325821. The cubic root of 16214260 is about 253.1040207172.

The spelling of 16214260 in words is "sixteen million, two hundred fourteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 103 170 206 340 412 463 515 926 1030 1751 1852 2060 2315 3502 4630 7004 7871 8755 9260 15742 17510 31484 35020 39355 47689 78710 95378 157420 190756 238445 476890 810713 953780 1621426 3242852 4053565 8107130 16214260