Search a number
-
+
2154712940 = 2251759310687
BaseRepresentation
bin1000000001101110…
…0100111101101100
312120011110202110222
42000123210331230
513403101303230
6553450550512
7104252520632
oct20033447554
95504422428
102154712940
11a063087a6
12501738438
13284536493
1416624d352
15c92736e5
hex806e4f6c

2154712940 has 48 divisors (see below), whose sum is σ = 4799596032. Its totient is φ = 809742336.

The previous prime is 2154712927. The next prime is 2154712961. The reversal of 2154712940 is 492174512.

It is a self number, because there is not a number n which added to its sum of digits gives 2154712940.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196277 + ... + 206963.

It is an arithmetic number, because the mean of its divisors is an integer number (99991584).

Almost surely, 22154712940 is an apocalyptic number.

2154712940 is a gapful number since it is divisible by the number (20) 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 2154712940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399798016).

2154712940 is an abundant number, since it is smaller than the sum of its proper divisors (2644883092).

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

2154712940 is a wasteful number, since it uses less digits than its factorization.

2154712940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11306 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2154712940 is about 46418.8855962743. The cubic root of 2154712940 is about 1291.6052647792.

The spelling of 2154712940 in words is "two billion, one hundred fifty-four million, seven hundred twelve thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 593 1186 2372 2965 5930 10081 10687 11860 20162 21374 40324 42748 50405 53435 100810 106870 181679 201620 213740 363358 726716 908395 1816790 3633580 6337391 12674782 25349564 31686955 63373910 107735647 126747820 215471294 430942588 538678235 1077356470 2154712940