Search a number
-
+
2913061320 = 2334513233197
BaseRepresentation
bin1010110110100001…
…1100100111001000
321112000102211220000
42231220130213020
521431220430240
61201021003000
7132121420101
oct25550344710
97460384800
102913061320
1112653900a4
126936b3460
13375694b30
141d8c553a8
15120b1e430
hexada1c9c8

2913061320 has 640 divisors, whose sum is σ = 11474749440. Its totient is φ = 656916480.

The previous prime is 2913061271. The next prime is 2913061321. The reversal of 2913061320 is 231603192.

2913061320 is a `hidden beast` number, since 29 + 1 + 3 + 0 + 613 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2913061321) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 30031512 + ... + 30031608.

It is an arithmetic number, because the mean of its divisors is an integer number (17929296).

Almost surely, 22913061320 is an apocalyptic number.

2913061320 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 2913061320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5737374720).

2913061320 is an abundant number, since it is smaller than the sum of its proper divisors (8561688120).

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

2913061320 is a wasteful number, since it uses less digits than its factorization.

2913061320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2913061320 is about 53972.7831411351. The cubic root of 2913061320 is about 1428.1808612107.

The spelling of 2913061320 in words is "two billion, nine hundred thirteen million, sixty-one thousand, three hundred twenty".