Search a number
-
+
2071480264 = 2373110191171
BaseRepresentation
bin111101101111000…
…0100011111001000
312100100212002201021
41323132010133020
513220244332024
6541315002224
7102222202030
oct17336043710
95310762637
102071480264
11973329867
12499899374
13270213889
141591848c0
15c1cd1de4
hex7b7847c8

2071480264 has 64 divisors (see below), whose sum is σ = 4590489600. Its totient is φ = 857563200.

The previous prime is 2071480247. The next prime is 2071480289. The reversal of 2071480264 is 4620841702.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1768399 + ... + 1769569.

It is an arithmetic number, because the mean of its divisors is an integer number (71726400).

Almost surely, 22071480264 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 2071480264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295244800).

2071480264 is an abundant number, since it is smaller than the sum of its proper divisors (2519009336).

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

2071480264 is a wasteful number, since it uses less digits than its factorization.

2071480264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 2071480264 is about 45513.5173767091. The cubic root of 2071480264 is about 1274.7556141112.

The spelling of 2071480264 in words is "two billion, seventy-one million, four hundred eighty thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1019 1171 1736 2038 2342 4076 4684 7133 8152 8197 9368 14266 16394 28532 31589 32788 36301 57064 63178 65576 72602 126356 145204 221123 252712 254107 290408 442246 508214 884492 1016428 1193249 1768984 2032856 2386498 4772996 8352743 9545992 16705486 33410972 36990719 66821944 73981438 147962876 258935033 295925752 517870066 1035740132 2071480264