Search a number
-
+
2097774276 = 2231329509911
BaseRepresentation
bin111110100001001…
…0111111011000100
312102012022222022120
41331002113323010
513244012234101
6544054325540
7102661533663
oct17502277304
95365288276
102097774276
11987158954
124a66598b0
132757bba70
1415c86adda
15c4277b36
hex7d097ec4

2097774276 has 96 divisors (see below), whose sum is σ = 5469811200. Its totient is φ = 621304320.

The previous prime is 2097774181. The next prime is 2097774281. The reversal of 2097774276 is 6724777902.

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 31 ways as a sum of consecutive naturals, for example, 2302261 + ... + 2303171.

It is an arithmetic number, because the mean of its divisors is an integer number (56977200).

Almost surely, 22097774276 is an apocalyptic number.

2097774276 is a gapful number since it is divisible by the number (26) 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 2097774276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734905600).

2097774276 is an abundant number, since it is smaller than the sum of its proper divisors (3372036924).

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

2097774276 is a wasteful number, since it uses less digits than its factorization.

2097774276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 51.

The square root of 2097774276 is about 45801.4658717382. The cubic root of 2097774276 is about 1280.1265898564.

The spelling of 2097774276 in words is "two billion, ninety-seven million, seven hundred seventy-four thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 509 754 911 1018 1131 1508 1527 1822 2036 2262 2733 3054 3644 4524 5466 6108 6617 10932 11843 13234 14761 19851 23686 26419 26468 29522 35529 39702 44283 47372 52838 59044 71058 79257 79404 88566 105676 142116 158514 177132 191893 317028 343447 383786 463699 575679 686894 767572 927398 1030341 1151358 1373788 1391097 1854796 2060682 2302716 2782194 4121364 5564388 6028087 12056174 13447271 18084261 24112348 26894542 36168522 40341813 53789084 72337044 80683626 161367252 174814523 349629046 524443569 699258092 1048887138 2097774276