Search a number
-
+
13814874 = 234531609
BaseRepresentation
bin110100101100…
…110001011010
3221222212110000
4310230301122
512014033444
61212033430
7225265413
oct64546132
927885400
1013814874
117886357
124762876
132b290a8
141b9880a
15132d469
hexd2cc5a

13814874 has 40 divisors (see below), whose sum is σ = 31559220. Its totient is φ = 4515264.

The previous prime is 13814873. The next prime is 13814887. The reversal of 13814874 is 47841831.

13814874 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11390625 + 2424249 = 3375^2 + 1557^2 .

It is not an unprimeable number, because it can be changed into a prime (13814873) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7782 + ... + 9390.

Almost surely, 213814874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13814874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15779610).

13814874 is an abundant number, since it is smaller than the sum of its proper divisors (17744346).

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

13814874 is a wasteful number, since it uses less digits than its factorization.

13814874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1667 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 13814874 is about 3716.8365581500. The cubic root of 13814874 is about 239.9471758742.

The spelling of 13814874 in words is "thirteen million, eight hundred fourteen thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 1609 2862 3218 4293 4827 8586 9654 14481 28962 43443 85277 86886 130329 170554 255831 260658 511662 767493 1534986 2302479 4604958 6907437 13814874