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258166120 = 23529222557
BaseRepresentation
bin11110110001101…
…00110101101000
3122222210012100011
433120310311220
51012042303440
641341221304
76253242622
oct1730646550
9588705304
10258166120
11122801033
1272561834
1341641624
1426403c12
15179e89ea
hexf634d68

258166120 has 32 divisors (see below), whose sum is σ = 600906600. Its totient is φ = 99705088.

The previous prime is 258166093. The next prime is 258166121. The reversal of 258166120 is 21661852.

It can be written as a sum of positive squares in 4 ways, for example, as 119727364 + 138438756 = 10942^2 + 11766^2 .

It is not an unprimeable number, because it can be changed into a prime (258166121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110119 + ... + 112438.

Almost surely, 2258166120 is an apocalyptic number.

258166120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258166120 is an abundant number, since it is smaller than the sum of its proper divisors (342740480).

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

258166120 is a wasteful number, since it uses less digits than its factorization.

258166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222597 (or 222593 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 258166120 is about 16067.5486618214. The cubic root of 258166120 is about 636.7462792847.

The spelling of 258166120 in words is "two hundred fifty-eight million, one hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 222557 445114 890228 1112785 1780456 2225570 4451140 6454153 8902280 12908306 25816612 32270765 51633224 64541530 129083060 258166120