Search a number
-
+
7313985 = 3257231107
BaseRepresentation
bin11011111001101001000001
3111202120220100
4123321221001
53333021420
6420433013
7116111400
oct33715101
914676810
107313985
114146118
122548769
131691103
14d85637
15997190
hex6f9a41

7313985 has 72 divisors (see below), whose sum is σ = 15365376. Its totient is φ = 3205440.

The previous prime is 7313983. The next prime is 7314037. The reversal of 7313985 is 5893137.

7313985 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7313985 - 21 = 7313983 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7313981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 68302 + ... + 68408.

It is an arithmetic number, because the mean of its divisors is an integer number (213408).

Almost surely, 27313985 is an apocalyptic number.

It is an amenable number.

7313985 is an abundant number, since it is smaller than the sum of its proper divisors (8051391).

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

7313985 is a wasteful number, since it uses less digits than its factorization.

7313985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 7313985 is about 2704.4380192565. The cubic root of 7313985 is about 194.1115399958. Note that the first 3 decimals are identical.

The spelling of 7313985 in words is "seven million, three hundred thirteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 107 147 155 217 245 279 315 321 441 465 535 651 735 749 963 1085 1395 1519 1605 1953 2205 2247 3255 3317 3745 4557 4815 5243 6741 7595 9765 9951 11235 13671 15729 16585 22785 23219 26215 29853 33705 47187 49755 68355 69657 78645 116095 149265 162533 208971 235935 348285 487599 812665 1044855 1462797 2437995 7313985