Search a number
-
+
5769941100 = 223527211172099
BaseRepresentation
bin1010101111110101…
…00101000001101100
3112220010011101012020
411113322211001230
543304101103400
62352313510140
7262661455500
oct52772450154
915803141166
105769941100
1124a0a88170
121150412350
1370c518a41
143ca444300
1523b8422a0
hex157ea506c

5769941100 has 432 divisors, whose sum is σ = 22442313600. Its totient is φ = 1127884800.

The previous prime is 5769941087. The next prime is 5769941137. The reversal of 5769941100 is 11499675.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 2747851 + ... + 2749949.

It is an arithmetic number, because the mean of its divisors is an integer number (51949800).

Almost surely, 25769941100 is an apocalyptic number.

5769941100 is a gapful number since it is divisible by the number (50) 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 5769941100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11221156800).

5769941100 is an abundant number, since it is smaller than the sum of its proper divisors (16672372500).

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

5769941100 is a wasteful number, since it uses less digits than its factorization.

5769941100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 5769941100 is about 75960.1283569216. The cubic root of 5769941100 is about 1793.5925580631.

The spelling of 5769941100 in words is "five billion, seven hundred sixty-nine million, nine hundred forty-one thousand, one hundred".