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258066240 = 2635268819
BaseRepresentation
bin11110110000111…
…00011101000000
3122222121010022220
433120130131000
51012031104430
641335131040
76252345465
oct1730343500
9588533286
10258066240
11122742a93
1272513a80
1341608023
14263b966c
15179c9110
hexf61c740

258066240 has 56 divisors (see below), whose sum is σ = 819363360. Its totient is φ = 68817408.

The previous prime is 258066203. The next prime is 258066247. The reversal of 258066240 is 42660852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258066247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133450 + ... + 135369.

Almost surely, 2258066240 is an apocalyptic number.

258066240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258066240 is an abundant number, since it is smaller than the sum of its proper divisors (561297120).

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

258066240 is a wasteful number, since it uses less digits than its factorization.

258066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268839 (or 268829 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 258066240 is about 16064.4402330115. The cubic root of 258066240 is about 636.6641533241.

The spelling of 258066240 in words is "two hundred fifty-eight million, sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 268819 537638 806457 1075276 1344095 1612914 2150552 2688190 3225828 4032285 4301104 5376380 6451656 8064570 8602208 10752760 12903312 16129140 17204416 21505520 25806624 32258280 43011040 51613248 64516560 86022080 129033120 258066240