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8260215040 = 285711219401
BaseRepresentation
bin1111011000101100…
…01110000100000000
3210022200001101211101
413230112032010000
5113404103340130
63443353024144
7411460445410
oct75426160400
923280041741
108260215040
113559748900
1217263b5054
13a1842120c
14585082640
1533529b1ca
hex1ec58e100

8260215040 has 432 divisors, whose sum is σ = 26228280960. Its totient is φ = 2433024000.

The previous prime is 8260214999. The next prime is 8260215043. The reversal of 8260215040 is 405120628.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (8260215043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20598840 + ... + 20599240.

Almost surely, 28260215040 is an apocalyptic number.

8260215040 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 8260215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13114140480).

8260215040 is an abundant number, since it is smaller than the sum of its proper divisors (17968065920).

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

8260215040 is a wasteful number, since it uses less digits than its factorization.

8260215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 8260215040 is about 90885.7251717782. The cubic root of 8260215040 is about 2021.4536345966.

Adding to 8260215040 its reverse (405120628), we get a palindrome (8665335668).

The spelling of 8260215040 in words is "eight billion, two hundred sixty million, two hundred fifteen thousand, forty".