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254140820 = 22517243969
BaseRepresentation
bin11110010010111…
…10000110010100
3122201012200122222
433021132012110
51010030001240
641115041512
76204106223
oct1711360624
9581180588
10254140820
1112050183a
1271140298
13408623ab
1425a76cba
15174a0eb5
hexf25e194

254140820 has 36 divisors (see below), whose sum is σ = 566949180. Its totient is φ = 95674368.

The previous prime is 254140811. The next prime is 254140829. The reversal of 254140820 is 28041452.

It is a happy number.

254140820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (254140811) and next prime (254140829).

It can be written as a sum of positive squares in 6 ways, for example, as 23951236 + 230189584 = 4894^2 + 15172^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 254140820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (254140829) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16205 + ... + 27764.

Almost surely, 2254140820 is an apocalyptic number.

254140820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

254140820 is an abundant number, since it is smaller than the sum of its proper divisors (312808360).

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

254140820 is a wasteful number, since it uses less digits than its factorization.

254140820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44012 (or 43993 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 254140820 is about 15941.7947546692. The cubic root of 254140820 is about 633.4195678207.

The spelling of 254140820 in words is "two hundred fifty-four million, one hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 43969 87938 175876 219845 439690 747473 879380 1494946 2989892 3737365 7474730 12707041 14949460 25414082 50828164 63535205 127070410 254140820