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818207040 = 26357313389
BaseRepresentation
bin110000110001001…
…101100101000000
32010000121020001110
4300301031211000
53133430111130
6213105003320
726163434160
oct6061154500
92100536043
10818207040
1138a947072
121aa023540
131006891a1
147a9485a0
154bc71ab0
hex30c4d940

818207040 has 224 divisors, whose sum is σ = 2986064640. Its totient is φ = 185942016.

The previous prime is 818207023. The next prime is 818207077. The reversal of 818207040 is 40702818.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 818206989 and 818207007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2103166 + ... + 2103554.

Almost surely, 2818207040 is an apocalyptic number.

818207040 is a gapful number since it is divisible by the number (80) 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 818207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493032320).

818207040 is an abundant number, since it is smaller than the sum of its proper divisors (2167857600).

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

818207040 is a wasteful number, since it uses less digits than its factorization.

818207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 818207040 is about 28604.3185550714. The cubic root of 818207040 is about 935.3074722520.

Adding to 818207040 its reverse (40702818), we get a palindrome (858909858).

The spelling of 818207040 in words is "eight hundred eighteen million, two hundred seven thousand, forty".