Search a number
-
+
7067090560 = 27533232
BaseRepresentation
bin1101001010011101…
…10011111010000000
3200020111222101201211
412211032303322000
5103433133344220
63125132135504
7340062164365
oct64516637200
920214871654
107067090560
112aa7208812
121452907594
138881963ba
144b082246c
152b566cb5a
hex1a53b3e80

7067090560 has 48 divisors (see below), whose sum is σ = 16899849090. Its totient is φ = 2825985536.

The previous prime is 7067090557. The next prime is 7067090579. The reversal of 7067090560 is 650907607.

It can be written as a sum of positive squares in only one way, i.e., 6360381504 + 706709056 = 79752^2 + 26584^2 .

It is a super-2 number, since 2×70670905602 = 99887537966482227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2125059 + ... + 2128381.

Almost surely, 27067090560 is an apocalyptic number.

It is an amenable number.

7067090560 is an abundant number, since it is smaller than the sum of its proper divisors (9832758530).

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

7067090560 is an frugal number, since it uses more digits than its factorization.

7067090560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6665 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 40.

The square root of 7067090560 is about 84065.9893179162. The cubic root of 7067090560 is about 1919.0231720904.

Multiplying 7067090560 by its sum of digits (40), we get a square (282683622400 = 5316802).

7067090560 divided by its sum of digits (40) gives a square (176677264 = 132922).

The spelling of 7067090560 in words is "seven billion, sixty-seven million, ninety thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3323 6646 13292 16615 26584 33230 53168 66460 106336 132920 212672 265840 425344 531680 1063360 2126720 11042329 22084658 44169316 55211645 88338632 110423290 176677264 220846580 353354528 441693160 706709056 883386320 1413418112 1766772640 3533545280 7067090560