Search a number
-
+
13968906 = 2373789101
BaseRepresentation
bin110101010010…
…011000001010
3222021200201220
4311102120022
512034001111
61215222510
7226506450
oct65223012
928250656
1013968906
117981056
124817a36
132b81233
141bd89d0
15135de06
hexd5260a

13968906 has 64 divisors (see below), whose sum is σ = 33488640. Its totient is φ = 3801600.

The previous prime is 13968887. The next prime is 13968907. The reversal of 13968906 is 60986931.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13968907) 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, 138256 + ... + 138356.

It is an arithmetic number, because the mean of its divisors is an integer number (523260).

Almost surely, 213968906 is an apocalyptic number.

It is a pronic number, being equal to 3737×3738.

It is a practical number, because each smaller number is the sum of distinct divisors of 13968906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16744320).

13968906 is an abundant number, since it is smaller than the sum of its proper divisors (19519734).

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

13968906 is a wasteful number, since it uses less digits than its factorization.

13968906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 13968906 is about 3737.4999665552. The cubic root of 13968906 is about 240.8356632903.

The spelling of 13968906 in words is "thirteen million, nine hundred sixty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 7 14 21 37 42 74 89 101 111 178 202 222 259 267 303 518 534 606 623 707 777 1246 1414 1554 1869 2121 3293 3737 3738 4242 6586 7474 8989 9879 11211 17978 19758 22422 23051 26159 26967 46102 52318 53934 62923 69153 78477 125846 138306 156954 188769 332593 377538 665186 997779 1995558 2328151 4656302 6984453 13968906