Search a number
-
+
766074036 = 2237313103139
BaseRepresentation
bin101101101010010…
…101110010110100
31222101111121000110
4231222111302310
53032103332121
6204003343020
724661344000
oct5552256264
91871447013
10766074036
11363479842
12194681a70
13c2934c60
1473a57700
15473c4d76
hex2da95cb4

766074036 has 192 divisors, whose sum is σ = 2283008000. Its totient is φ = 198640512.

The previous prime is 766074019. The next prime is 766074037. The reversal of 766074036 is 630470667.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 766073985 and 766074003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (766074037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5511255 + ... + 5511393.

Almost surely, 2766074036 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 766074036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141504000).

766074036 is an abundant number, since it is smaller than the sum of its proper divisors (1516933964).

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

766074036 is a wasteful number, since it uses less digits than its factorization.

766074036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The square root of 766074036 is about 27678.0424885865. The cubic root of 766074036 is about 915.0052398995.

The spelling of 766074036 in words is "seven hundred sixty-six million, seventy-four thousand, thirty-six".