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766132132 = 221721535233
BaseRepresentation
bin101101101010100…
…011111110100100
31222101121112201011
4231222203332210
53032112212012
6204004512004
724662005243
oct5552437644
91871545634
10766132132
11363509457
121946ab604
13c295552c
1473a7095a
15473d71a7
hex2daa3fa4

766132132 has 24 divisors (see below), whose sum is σ = 1420528536. Its totient is φ = 360296448.

The previous prime is 766132099. The next prime is 766132141. The reversal of 766132132 is 231231667.

It can be written as a sum of positive squares in 4 ways, for example, as 230857636 + 535274496 = 15194^2 + 23136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 766132094 and 766132103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 143788 + ... + 149020.

It is an arithmetic number, because the mean of its divisors is an integer number (59188689).

Almost surely, 2766132132 is an apocalyptic number.

It is an amenable number.

766132132 is a deficient number, since it is larger than the sum of its proper divisors (654396404).

766132132 is a wasteful number, since it uses less digits than its factorization.

766132132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7405 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The square root of 766132132 is about 27679.0919648749. The cubic root of 766132132 is about 915.0283694311.

Adding to 766132132 its reverse (231231667), we get a palindrome (997363799).

It can be divided in two parts, 7661 and 32132, that added together give a palindrome (39793).

The spelling of 766132132 in words is "seven hundred sixty-six million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 68 2153 4306 5233 8612 10466 20932 36601 73202 88961 146404 177922 355844 11266649 22533298 45066596 191533033 383066066 766132132