Search a number
-
+
13214370 = 23513311093
BaseRepresentation
bin110010011010…
…001010100010
3220212100201010
4302122022202
511340324440
61151121350
7220214601
oct62321242
926770633
1013214370
117506174
124513256
132978970
141a7da38
151260580
hexc9a2a2

13214370 has 64 divisors (see below), whose sum is σ = 35288064. Its totient is φ = 3144960.

The previous prime is 13214359. The next prime is 13214371. The reversal of 13214370 is 7341231.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13214371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11544 + ... + 12636.

It is an arithmetic number, because the mean of its divisors is an integer number (551376).

Almost surely, 213214370 is an apocalyptic number.

13214370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13214370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644032).

13214370 is an abundant number, since it is smaller than the sum of its proper divisors (22073694).

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

13214370 is a wasteful number, since it uses less digits than its factorization.

13214370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 13214370 is about 3635.1574931494. The cubic root of 13214370 is about 236.4188792788.

The spelling of 13214370 in words is "thirteen million, two hundred fourteen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1093 1209 2015 2186 2418 3279 4030 5465 6045 6558 10930 12090 14209 16395 28418 32790 33883 42627 67766 71045 85254 101649 142090 169415 203298 213135 338830 426270 440479 508245 880958 1016490 1321437 2202395 2642874 4404790 6607185 13214370