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5942664 = 2332713907
BaseRepresentation
bin10110101010110110001000
3102011220210200
4112222312020
53010131124
6331212200
7101340360
oct26526610
912156720
105942664
1133998a2
121ba7060
131300b90
14b099a0
157c5bc9
hex5aad88

5942664 has 96 divisors (see below), whose sum is σ = 19830720. Its totient is φ = 1565568.

The previous prime is 5942659. The next prime is 5942683. The reversal of 5942664 is 4662495.

5942664 is a `hidden beast` number, since 594 + 2 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 57 + 97 + 4 + 215 + 6 + 63 + 410 .

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 23 ways as a sum of consecutive naturals, for example, 6099 + ... + 7005.

It is an arithmetic number, because the mean of its divisors is an integer number (206570).

Almost surely, 25942664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5942664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9915360).

5942664 is an abundant number, since it is smaller than the sum of its proper divisors (13888056).

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

5942664 is a wasteful number, since it uses less digits than its factorization.

5942664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 932 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5942664 is about 2437.7579863473. The cubic root of 5942664 is about 181.1313922390.

Subtracting from 5942664 its sum of digits (36), we obtain a triangular number (5942628 = T3447).

The spelling of 5942664 in words is "five million, nine hundred forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 907 936 1092 1638 1814 2184 2721 3276 3628 5442 6349 6552 7256 8163 10884 11791 12698 16326 19047 21768 23582 25396 32652 35373 38094 47164 50792 57141 65304 70746 76188 82537 94328 106119 114282 141492 152376 165074 212238 228564 247611 282984 330148 424476 457128 495222 660296 742833 848952 990444 1485666 1980888 2971332 5942664