Search a number
-
+
2117559040 = 2851654343
BaseRepresentation
bin111111000110111…
…0110001100000000
312110120120010220121
41332031312030000
513314043342130
6550042350024
7103321645342
oct17615661400
95416503817
102117559040
119973414a3
124b11bb314
1327992821c
1416133b292
15c5d84d7a
hex7e376300

2117559040 has 36 divisors (see below), whose sum is σ = 5072218704. Its totient is φ = 847023104.

The previous prime is 2117559019. The next prime is 2117559047. The reversal of 2117559040 is 409557112.

It is a junction number, because it is equal to n+sod(n) for n = 2117558987 and 2117559005.

It is not an unprimeable number, because it can be changed into a prime (2117559047) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 825892 + ... + 828451.

It is an arithmetic number, because the mean of its divisors is an integer number (140894964).

Almost surely, 22117559040 is an apocalyptic number.

2117559040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2117559040 is an abundant number, since it is smaller than the sum of its proper divisors (2954659664).

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

2117559040 is an equidigital number, since it uses as much as digits as its factorization.

2117559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654364 (or 1654350 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 2117559040 is about 46016.9429666943. The cubic root of 2117559040 is about 1284.1384283489.

The spelling of 2117559040 in words is "two billion, one hundred seventeen million, five hundred fifty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1654343 3308686 6617372 8271715 13234744 16543430 26469488 33086860 52938976 66173720 105877952 132347440 211755904 264694880 423511808 529389760 1058779520 2117559040