Search a number
-
+
5966874 = 2321973239
BaseRepresentation
bin10110110000110000011010
3102020011000100
4112300300122
53011414444
6331520230
7101501064
oct26606032
912204010
105966874
113406001
121bb9076
13130bbc4
14b14734
157cce69
hex5b0c1a

5966874 has 48 divisors (see below), whose sum is σ = 13852800. Its totient is φ = 1850688.

The previous prime is 5966861. The next prime is 5966887. The reversal of 5966874 is 4786695.

It is an interprime number because it is at equal distance from previous prime (5966861) and next prime (5966887).

Its product of digits (362880) is a multiple of the sum of its prime divisors (336).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24847 + ... + 25085.

It is an arithmetic number, because the mean of its divisors is an integer number (288600).

Almost surely, 25966874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5966874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926400).

5966874 is an abundant number, since it is smaller than the sum of its proper divisors (7885926).

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

5966874 is a wasteful number, since it uses less digits than its factorization.

5966874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 336 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5966874 is about 2442.7185674981. The cubic root of 5966874 is about 181.3770312015.

It can be divided in two parts, 596 and 6874, that multiplied together give a palindrome (4096904).

The spelling of 5966874 in words is "five million, nine hundred sixty-six thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 19 38 57 73 114 146 171 219 239 342 438 478 657 717 1314 1387 1434 2151 2774 4161 4302 4541 8322 9082 12483 13623 17447 24966 27246 34894 40869 52341 81738 104682 157023 314046 331493 662986 994479 1988958 2983437 5966874