Search a number
-
+
745664 = 2661191
BaseRepresentation
bin10110110000011000000
31101212212012
42312003000
5142330124
623552052
76223643
oct2660300
91355765
10745664
1146a257
122bb628
1320152a
14155a5a
15eae0e
hexb60c0

745664 has 28 divisors (see below), whose sum is σ = 1511808. Its totient is φ = 364800.

The previous prime is 745649. The next prime is 745673. The reversal of 745664 is 466547.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 745664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3809 + ... + 3999.

2745664 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 745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755904).

745664 is an abundant number, since it is smaller than the sum of its proper divisors (766144).

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

745664 is a wasteful number, since it uses less digits than its factorization.

745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 745664 is about 863.5183842861. The cubic root of 745664 is about 90.6806014722.

The spelling of 745664 in words is "seven hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 61 64 122 191 244 382 488 764 976 1528 1952 3056 3904 6112 11651 12224 23302 46604 93208 186416 372832 745664