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766368 = 2533887
BaseRepresentation
bin10111011000110100000
31102221021000
42323012200
5144010433
624232000
76341211
oct2730640
91387230
10766368
11483869
1230b600
1320aa95
1415d408
15102113
hexbb1a0

766368 has 48 divisors (see below), whose sum is σ = 2237760. Its totient is φ = 255168.

The previous prime is 766361. The next prime is 766369. The reversal of 766368 is 863667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×7663682 = 1174639822848, which contains 22 as substring.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 766368.

It is not an unprimeable number, because it can be changed into a prime (766361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 421 + ... + 1307.

It is an arithmetic number, because the mean of its divisors is an integer number (46620).

2766368 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 766368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118880).

766368 is an abundant number, since it is smaller than the sum of its proper divisors (1471392).

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

766368 is a wasteful number, since it uses less digits than its factorization.

766368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 766368 is about 875.4244684723. The cubic root of 766368 is about 91.5122262620.

The spelling of 766368 in words is "seven hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 887 1774 2661 3548 5322 7096 7983 10644 14192 15966 21288 23949 28384 31932 42576 47898 63864 85152 95796 127728 191592 255456 383184 766368