Search a number
-
+
6001956 = 2232295749
BaseRepresentation
bin10110111001010100100100
3102021221010200
4112321110210
53014030311
6332350500
7102005262
oct26712444
912257120
106001956
11342a3a4
122015430
131321b6c
14b23432
157d8556
hex5b9524

6001956 has 36 divisors (see below), whose sum is σ = 15697500. Its totient is φ = 1931328.

The previous prime is 6001939. The next prime is 6001981. The reversal of 6001956 is 6591006.

6001956 is a `hidden beast` number, since 600 + 1 + 9 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1232100 + 4769856 = 1110^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 1831 + ... + 3918.

Almost surely, 26001956 is an apocalyptic number.

It is an amenable number.

6001956 is an abundant number, since it is smaller than the sum of its proper divisors (9695544).

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

6001956 is a wasteful number, since it uses less digits than its factorization.

6001956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 6001956 is about 2449.8889770763. Note that the first 3 decimals coincide. The cubic root of 6001956 is about 181.7318031816.

It can be divided in two parts, 600 and 1956, that added together give a triangular number (2556 = T71).

The spelling of 6001956 in words is "six million, one thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 5749 11498 17247 22996 34494 51741 68988 103482 166721 206964 333442 500163 666884 1000326 1500489 2000652 3000978 6001956