[go: up one dir, main page]

Search a number
-
+
3713985 = 335114161
BaseRepresentation
bin1110001010101111000001
320222200122000
432022233001
51422321420
6211334213
743365642
oct16125701
96880560
103713985
112107410
1212b1369
13a00632
146c96c9
154d5690
hex38abc1

3713985 has 64 divisors (see below), whose sum is σ = 7499520. Its totient is φ = 1728000.

The previous prime is 3713929. The next prime is 3713993. The reversal of 3713985 is 5893173.

3713985 = 1712 + 1722 + ... + 2522.

3713985 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3713985 - 26 = 3713921 is a prime.

3713985 is a lucky number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60855 + ... + 60915.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 23713985 is an apocalyptic number.

It is an amenable number.

3713985 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

3713985 is a wasteful number, since it uses less digits than its factorization.

3713985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

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

The square root of 3713985 is about 1927.1702052491. The cubic root of 3713985 is about 154.8626601686.

It can be divided in two parts, 371 and 3985, that added together give a square (4356 = 662).

The spelling of 3713985 in words is "three million, seven hundred thirteen thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 33 41 45 55 61 99 123 135 165 183 205 297 305 369 451 495 549 615 671 915 1107 1353 1485 1647 1845 2013 2255 2501 2745 3355 4059 5535 6039 6765 7503 8235 10065 12177 12505 18117 20295 22509 27511 30195 37515 60885 67527 82533 90585 112545 137555 247599 337635 412665 742797 1237995 3713985