Search a number
-
+
242727880 = 2356068197
BaseRepresentation
bin11100111011110…
…11101111001000
3121220201212001111
432131323233020
5444114243010
640030300104
76005103313
oct1635735710
9556655044
10242727880
1111501705a
1269357634
133b397685
142434597a
151649958a
hexe77bbc8

242727880 has 16 divisors (see below), whose sum is σ = 546137820. Its totient is φ = 97091136.

The previous prime is 242727871. The next prime is 242727889. The reversal of 242727880 is 88727242.

It is an interprime number because it is at equal distance from previous prime (242727871) and next prime (242727889).

It can be written as a sum of positive squares in 2 ways, for example, as 224220676 + 18507204 = 14974^2 + 4302^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 6068197 = 242727880 / (2 + 4 + 2 + 7 + 2 + 7 + 8 + 8 + 0).

It is not an unprimeable number, because it can be changed into a prime (242727889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3034059 + ... + 3034138.

Almost surely, 2242727880 is an apocalyptic number.

242727880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242727880 is an abundant number, since it is smaller than the sum of its proper divisors (303409940).

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

242727880 is a wasteful number, since it uses less digits than its factorization.

242727880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6068208 (or 6068204 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

The square root of 242727880 is about 15579.7265701295. The cubic root of 242727880 is about 623.7921247636.

The spelling of 242727880 in words is "two hundred forty-two million, seven hundred twenty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 6068197 12136394 24272788 30340985 48545576 60681970 121363940 242727880