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914930640 = 243451310861
BaseRepresentation
bin110110100010001…
…011101111010000
32100202121021220000
4312202023233100
53333210240030
6230442050000
731446532161
oct6642135720
92322537800
10914930640
1142a4aaa28
122164a9900
131177235a0
1489725768
15554ca860
hex3688bbd0

914930640 has 200 divisors, whose sum is σ = 3422442408. Its totient is φ = 225192960.

The previous prime is 914930587. The next prime is 914930647. The reversal of 914930640 is 46039419.

914930640 is a `hidden beast` number, since 9 + 1 + 4 + 9 + 3 + 0 + 640 = 666.

914930640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 910108224 = 2196^2 + 30168^2 .

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 = 914930595 and 914930604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914930647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 78810 + ... + 89670.

Almost surely, 2914930640 is an apocalyptic number.

914930640 is a gapful number since it is divisible by the number (90) 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 914930640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711221204).

914930640 is an abundant number, since it is smaller than the sum of its proper divisors (2507511768).

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

914930640 is a wasteful number, since it uses less digits than its factorization.

914930640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10899 (or 10884 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 914930640 is about 30247.8204173458. The cubic root of 914930640 is about 970.7991571941.

The spelling of 914930640 in words is "nine hundred fourteen million, nine hundred thirty thousand, six hundred forty".