Search a number
-
+
3960957 = 3711131319
BaseRepresentation
bin1111000111000001111101
321110020102010
433013001331
52003222312
6220521433
745444660
oct17070175
97406363
103960957
112265a20
1213b0279
13a88b80
147516d7
1553393c
hex3c707d

3960957 has 32 divisors (see below), whose sum is σ = 7096320. Its totient is φ = 1897920.

The previous prime is 3960941. The next prime is 3960959. The reversal of 3960957 is 7590693.

It is not a de Polignac number, because 3960957 - 24 = 3960941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

3960957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2344 + ... + 3662.

It is an arithmetic number, because the mean of its divisors is an integer number (221760).

Almost surely, 23960957 is an apocalyptic number.

It is an amenable number.

3960957 is a deficient number, since it is larger than the sum of its proper divisors (3135363).

3960957 is a wasteful number, since it uses less digits than its factorization.

3960957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353.

The product of its (nonzero) digits is 51030, while the sum is 39.

The square root of 3960957 is about 1990.2153149848. The cubic root of 3960957 is about 158.2219414726.

The spelling of 3960957 in words is "three million, nine hundred sixty thousand, nine hundred fifty-seven".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 1001 1319 3003 3957 9233 14509 17147 27699 43527 51441 101563 120029 188617 304689 360087 565851 1320319 3960957