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242708980 = 22520295981
BaseRepresentation
bin11100111011101…
…11000111110100
3121220200220010111
432131313013310
5444113141410
640030032404
76004664233
oct1635670764
9556626114
10242708980
11115003938
1269348704
133b38bba7
142433cb1a
1516493b8a
hexe7771f4

242708980 has 24 divisors (see below), whose sum is σ = 510025320. Its totient is φ = 97019520.

The previous prime is 242708953. The next prime is 242708993. The reversal of 242708980 is 89807242.

242708980 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 30074256 + 212634724 = 5484^2 + 14582^2 .

It is a super-4 number, since 4×2427089804 (a number of 35 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37590 + ... + 43570.

It is an arithmetic number, because the mean of its divisors is an integer number (21251055).

Almost surely, 2242708980 is an apocalyptic number.

242708980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242708980 is an abundant number, since it is smaller than the sum of its proper divisors (267316340).

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

242708980 is a wasteful number, since it uses less digits than its factorization.

242708980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8019 (or 8017 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 242708980 is about 15579.1200008216. The cubic root of 242708980 is about 623.7759338243.

The spelling of 242708980 in words is "two hundred forty-two million, seven hundred eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 2029 4058 5981 8116 10145 11962 20290 23924 29905 40580 59810 119620 12135449 24270898 48541796 60677245 121354490 242708980