Search a number
-
+
693080640 = 263257311109
BaseRepresentation
bin101001010011111…
…001001001000000
31210022011010220100
4221103321021000
52404412040030
6152435042400
723114042160
oct5123711100
91708133810
10693080640
1132625381a
12174140400
13b0788ab5
14680965a0
1540ca7360
hex294f9240

693080640 has 336 divisors, whose sum is σ = 2814888960. Its totient is φ = 153169920.

The previous prime is 693080639. The next prime is 693080669. The reversal of 693080640 is 46080396.

693080640 is a `hidden beast` number, since 6 + 9 + 3 + 0 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 693080595 and 693080604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624406 + ... + 625514.

Almost surely, 2693080640 is an apocalyptic number.

693080640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 693080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407444480).

693080640 is an abundant number, since it is smaller than the sum of its proper divisors (2121808320).

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

693080640 is a wasteful number, since it uses less digits than its factorization.

693080640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 693080640 is about 26326.4247477701. The cubic root of 693080640 is about 884.9687243568.

The spelling of 693080640 in words is "six hundred ninety-three million, eighty thousand, six hundred forty".