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6390000936 = 2332111737101127
BaseRepresentation
bin1011111001101111…
…11010110100101000
3121111022220200101100
411330313322310220
5101041320012221
62534023521400
7314231053224
oct57467726450
917438820340
106390000936
112789a97310
1212a3bb9260
137aab19057
1444892d784
15275ec3926
hex17cdfad28

6390000936 has 384 divisors, whose sum is σ = 20896911360. Its totient is φ = 1741824000.

The previous prime is 6390000913. The next prime is 6390000971.

6390000936 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×63900009362 = 81664223924161752192, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6390000936.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50314905 + ... + 50315031.

It is an arithmetic number, because the mean of its divisors is an integer number (54419040).

Almost surely, 26390000936 is an apocalyptic number.

6390000936 is a gapful number since it is divisible by the number (66) 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 6390000936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448455680).

6390000936 is an abundant number, since it is smaller than the sum of its proper divisors (14506910424).

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

6390000936 is a wasteful number, since it uses less digits than its factorization.

6390000936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 6390000936 is about 79937.4814214208. The cubic root of 6390000936 is about 1855.6681222946.

It can be divided in two parts, 6390000 and 936, that added together give a palindrome (6390936).

The spelling of 6390000936 in words is "six billion, three hundred ninety million, nine hundred thirty-six", and thus it is an aban number.