Search a number
-
+
8105030640 = 2433571989317
BaseRepresentation
bin1111000110001100…
…01111001111110000
3202220212001012212000
413203012033033300
5113044341440030
63420130534000
7404564423640
oct74306171760
922825035760
108105030640
11348a095533
1216a2437300
139c2228625
1456c608520
15326845860
hex1e318f3f0

8105030640 has 640 divisors, whose sum is σ = 34069248000. Its totient is φ = 1729880064.

The previous prime is 8105030567. The next prime is 8105030657. The reversal of 8105030640 is 460305018.

8105030640 is a `hidden beast` number, since 8 + 10 + 5 + 0 + 3 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25567762 + ... + 25568078.

It is an arithmetic number, because the mean of its divisors is an integer number (53233200).

Almost surely, 28105030640 is an apocalyptic number.

8105030640 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 8105030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17034624000).

8105030640 is an abundant number, since it is smaller than the sum of its proper divisors (25964217360).

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

8105030640 is a wasteful number, since it uses less digits than its factorization.

8105030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 8105030640 is about 90027.9436619542. The cubic root of 8105030640 is about 2008.7145266950.

Adding to 8105030640 its reverse (460305018), we get a palindrome (8565335658).

The spelling of 8105030640 in words is "eight billion, one hundred five million, thirty thousand, six hundred forty".