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258994160 = 2454375289
BaseRepresentation
bin11110110111111…
…10111111110000
3200001100021012022
433123332333300
51012300303120
641411051012
76263262005
oct1733767760
9601307168
10258994160
11123217167
12728a0a68
13418714a9
142657b8ac
1517b0e025
hexf6feff0

258994160 has 40 divisors (see below), whose sum is σ = 616173360. Its totient is φ = 101187072.

The previous prime is 258994159. The next prime is 258994193. The reversal of 258994160 is 61499852.

It is a tau number, because it is divible by the number of its divisors (40).

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, 34205 + ... + 41084.

It is an arithmetic number, because the mean of its divisors is an integer number (15404334).

Almost surely, 2258994160 is an apocalyptic number.

258994160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258994160 is an abundant number, since it is smaller than the sum of its proper divisors (357179200).

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

258994160 is a wasteful number, since it uses less digits than its factorization.

258994160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75345 (or 75339 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 258994160 is about 16093.2954984366. The cubic root of 258994160 is about 637.4263177689.

The spelling of 258994160 in words is "two hundred fifty-eight million, nine hundred ninety-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 75289 150578 301156 376445 602312 752890 1204624 1505780 3011560 3237427 6023120 6474854 12949708 16187135 25899416 32374270 51798832 64748540 129497080 258994160