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258793140 = 22354313219
BaseRepresentation
bin11110110110011…
…01111010110100
3200000222001110010
433123031322310
51012222340030
641402500220
76261463644
oct1733157264
9600861403
10258793140
1112309a131
1272804670
1341800b48
1426528524
1517abe6b0
hexf6cdeb4

258793140 has 24 divisors (see below), whose sum is σ = 724620960. Its totient is φ = 69011488.

The previous prime is 258793111. The next prime is 258793153. The reversal of 258793140 is 41397852.

It is a super-2 number, since 2×2587931402 = 133947778622119200, which contains 22 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, 2156550 + ... + 2156669.

It is an arithmetic number, because the mean of its divisors is an integer number (30192540).

Almost surely, 2258793140 is an apocalyptic number.

258793140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258793140 is an abundant number, since it is smaller than the sum of its proper divisors (465827820).

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

258793140 is a wasteful number, since it uses less digits than its factorization.

258793140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313231 (or 4313229 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 258793140 is about 16087.0488281723. The cubic root of 258793140 is about 637.2613608914.

The spelling of 258793140 in words is "two hundred fifty-eight million, seven hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4313219 8626438 12939657 17252876 21566095 25879314 43132190 51758628 64698285 86264380 129396570 258793140