Search a number
-
+
2301127072 = 251716325951
BaseRepresentation
bin1000100100101000…
…0110100110100000
312221100222100220121
42021022012212200
514203042031242
61020201050024
7111011154166
oct21112064640
95840870817
102301127072
11a80a20912
12542786914
132a897b16a
1417b883236
15d7045667
hex892869a0

2301127072 has 48 divisors (see below), whose sum is σ = 4826449152. Its totient is φ = 1076198400.

The previous prime is 2301127063. The next prime is 2301127079. The reversal of 2301127072 is 2707211032.

It is not an unprimeable number, because it can be changed into a prime (2301127079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75697 + ... + 101647.

It is an arithmetic number, because the mean of its divisors is an integer number (100551024).

Almost surely, 22301127072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2301127072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413224576).

2301127072 is an abundant number, since it is smaller than the sum of its proper divisors (2525322080).

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

2301127072 is a wasteful number, since it uses less digits than its factorization.

2301127072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26141 (or 26133 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 2301127072 is about 47970.0643318310. The cubic root of 2301127072 is about 1320.2217013600.

The spelling of 2301127072 in words is "two billion, three hundred one million, one hundred twenty-seven thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 163 272 326 544 652 1304 2608 2771 5216 5542 11084 22168 25951 44336 51902 88672 103804 207608 415216 441167 830432 882334 1764668 3529336 4230013 7058672 8460026 14117344 16920052 33840104 67680208 71910221 135360416 143820442 287640884 575281768 1150563536 2301127072