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766068900 = 223523182373
BaseRepresentation
bin101101101010010…
…100100010100100
31222101111022222020
4231222110202210
53032103201100
6204003303140
724661323012
oct5552244244
91871438866
10766068900
113634759a3
1219467aab0
13c293280c
1473a558b2
15473c35a0
hex2da948a4

766068900 has 72 divisors (see below), whose sum is σ = 2288020224. Its totient is φ = 197692800.

The previous prime is 766068899. The next prime is 766068929. The reversal of 766068900 is 9860667.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31887 + ... + 50486.

Almost surely, 2766068900 is an apocalyptic number.

It is an amenable number.

766068900 is an abundant number, since it is smaller than the sum of its proper divisors (1521951324).

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

766068900 is a wasteful number, since it uses less digits than its factorization.

766068900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82421 (or 82414 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 766068900 is about 27677.9497073031. The cubic root of 766068900 is about 915.0031950678.

The spelling of 766068900 in words is "seven hundred sixty-six million, sixty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 82373 164746 247119 329492 411865 494238 823730 988476 1235595 1647460 2059325 2471190 2553563 4118650 4942380 5107126 6177975 7660689 8237300 10214252 12355950 12767815 15321378 24711900 25535630 30642756 38303445 51071260 63839075 76606890 127678150 153213780 191517225 255356300 383034450 766068900