Search a number
-
+
207068580 = 223252774153
BaseRepresentation
bin11000101011110…
…01110110100100
3112102122011200200
430111321312210
5411002143310
632314110500
75063024325
oct1425716644
9472564620
10207068580
11a6980764
125941b430
1333b907b4
141d70244c
15132a39c0
hexc579da4

207068580 has 72 divisors (see below), whose sum is σ = 630527352. Its totient is φ = 55005696.

The previous prime is 207068549. The next prime is 207068581. The reversal of 207068580 is 85860702.

207068580 is a `hidden beast` number, since 2 + 0 + 70 + 6 + 8 + 580 = 666.

207068580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 7750656 + 199317924 = 2784^2 + 14118^2 .

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

It is not an unprimeable number, because it can be changed into a prime (207068581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47784 + ... + 51936.

Almost surely, 2207068580 is an apocalyptic number.

207068580 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 207068580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315263676).

207068580 is an abundant number, since it is smaller than the sum of its proper divisors (423458772).

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

207068580 is a wasteful number, since it uses less digits than its factorization.

207068580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4445 (or 4440 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 207068580 is about 14389.8776923225. The cubic root of 207068580 is about 591.6134902505.

The spelling of 207068580 in words is "two hundred seven million, sixty-eight thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2770 3324 4153 4155 4986 5540 8306 8310 9972 12459 12465 16612 16620 20765 24918 24930 37377 41530 49836 49860 62295 74754 83060 124590 149508 186885 249180 373770 747540 1150381 2300762 3451143 4601524 5751905 6902286 10353429 11503810 13804572 17255715 20706858 23007620 34511430 41413716 51767145 69022860 103534290 207068580