Search a number
-
+
13906662 = 2371131971
BaseRepresentation
bin110101000011…
…001011100110
3222011112100120
4311003023212
512030003122
61214022410
7226130130
oct65031346
928145316
1013906662
117939310
1247a7a06
132b5bac3
141bc0050
15134a75c
hexd432e6

13906662 has 64 divisors (see below), whose sum is σ = 35831808. Its totient is φ = 3492000.

The previous prime is 13906657. The next prime is 13906681. The reversal of 13906662 is 26660931.

It is a happy number.

13906662 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 is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13837 + ... + 14807.

It is an arithmetic number, because the mean of its divisors is an integer number (559872).

Almost surely, 213906662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13906662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17915904).

13906662 is an abundant number, since it is smaller than the sum of its proper divisors (21925146).

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

13906662 is a wasteful number, since it uses less digits than its factorization.

13906662 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025.

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 13906662 is about 3729.1637132204. The cubic root of 13906662 is about 240.4774177271.

It can be divided in two parts, 139066 and 62, that added together give a triangular number (139128 = T527).

The spelling of 13906662 in words is "thirteen million, nine hundred six thousand, six hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 154 186 217 231 341 434 462 651 682 971 1023 1302 1942 2046 2387 2913 4774 5826 6797 7161 10681 13594 14322 20391 21362 30101 32043 40782 60202 64086 74767 90303 149534 180606 210707 224301 331111 421414 448602 632121 662222 993333 1264242 1986666 2317777 4635554 6953331 13906662