Search a number
-
+
2126469128 = 237472233623
BaseRepresentation
bin111111010111111…
…0101100000001000
312111012022211020212
41332233311200020
513323334003003
6551001340252
7103460455310
oct17657654010
95435284225
102126469128
119a1377803
124b4197688
1327b727974
141625ba440
15c6a44dd8
hex7ebf5808

2126469128 has 64 divisors (see below), whose sum is σ = 4675829760. Its totient is φ = 887708736.

The previous prime is 2126469097. The next prime is 2126469133. The reversal of 2126469128 is 8219646212.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585125 + ... + 588747.

It is an arithmetic number, because the mean of its divisors is an integer number (73059840).

Almost surely, 22126469128 is an apocalyptic number.

2126469128 is a gapful number since it is divisible by the number (28) 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 2126469128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337914880).

2126469128 is an abundant number, since it is smaller than the sum of its proper divisors (2549360632).

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

2126469128 is a wasteful number, since it uses less digits than its factorization.

2126469128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3902 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The square root of 2126469128 is about 46113.6544637269. The cubic root of 2126469128 is about 1285.9370048644.

The spelling of 2126469128 in words is "two billion, one hundred twenty-six million, four hundred sixty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 223 329 376 446 658 892 1316 1561 1784 2632 3122 3623 6244 7246 10481 12488 14492 20962 25361 28984 41924 50722 73367 83848 101444 146734 170281 202888 293468 340562 586936 681124 807929 1191967 1362248 1615858 2383934 3231716 4767868 5655503 6463432 9535736 11311006 22622012 37972663 45244024 75945326 151890652 265808641 303781304 531617282 1063234564 2126469128