Search a number
-
+
690764000 = 25531961149
BaseRepresentation
bin101001001011000…
…011100011100000
31210010210110001212
4221023003203200
52403313422000
6152313245252
723055253133
oct5113034340
91703713055
10690764000
11324a11243
12173403828
13b01574c4
1467a5221a
154099ac35
hex292c38e0

690764000 has 192 divisors, whose sum is σ = 1828008000. Its totient is φ = 255744000.

The previous prime is 690763933. The next prime is 690764003. The reversal of 690764000 is 467096.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690764003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4635926 + ... + 4636074.

It is an arithmetic number, because the mean of its divisors is an integer number (9520875).

Almost surely, 2690764000 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 690764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914004000).

690764000 is an abundant number, since it is smaller than the sum of its proper divisors (1137244000).

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

690764000 is a wasteful number, since it uses less digits than its factorization.

690764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 690764000 is about 26282.3895412879. The cubic root of 690764000 is about 883.9816134256.

It can be divided in two parts, 6907 and 64000, that added together give a palindrome (70907).

The spelling of 690764000 in words is "six hundred ninety million, seven hundred sixty-four thousand".