Search a number
-
+
2907056340 = 2232516150313
BaseRepresentation
bin1010110101000110…
…0010100011010100
321111121010202121100
42231101202203110
521423201300330
61200244150100
7132016366626
oct25521424324
97447122540
102907056340
111261a59501
12691698330
133743717a6
141d8130c16
15120335060
hexad4628d4

2907056340 has 36 divisors (see below), whose sum is σ = 8818071444. Its totient is φ = 775214976.

The previous prime is 2907056329. The next prime is 2907056351. The reversal of 2907056340 is 436507092.

2907056340 is a `hidden beast` number, since 2 + 90 + 7 + 0 + 563 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2907056329) and next prime (2907056351).

It can be written as a sum of positive squares in 2 ways, for example, as 1750920336 + 1156136004 = 41844^2 + 34002^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2907056295 and 2907056304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8074977 + ... + 8075336.

It is an arithmetic number, because the mean of its divisors is an integer number (244946429).

Almost surely, 22907056340 is an apocalyptic number.

2907056340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2907056340 is an abundant number, since it is smaller than the sum of its proper divisors (5911015104).

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

2907056340 is a wasteful number, since it uses less digits than its factorization.

2907056340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16150328 (or 16150323 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2907056340 is about 53917.1247378790. The cubic root of 2907056340 is about 1427.1988361964.

The spelling of 2907056340 in words is "two billion, nine hundred seven million, fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 16150313 32300626 48450939 64601252 80751565 96901878 145352817 161503130 193803756 242254695 290705634 323006260 484509390 581411268 726764085 969018780 1453528170 2907056340