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258404180 = 225194391549
BaseRepresentation
bin11110110011011…
…10111101010100
3200000020021220012
433121232331110
51012122413210
641350255352
76255253646
oct1731567524
9600207805
10258404180
11122953981
1272657558
13416c5aa8
1426466896
1517a44305
hexf66ef54

258404180 has 48 divisors (see below), whose sum is σ = 572880000. Its totient is φ = 97635456.

The previous prime is 258404173. The next prime is 258404183. The reversal of 258404180 is 81404852.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258404183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166046 + ... + 167594.

It is an arithmetic number, because the mean of its divisors is an integer number (11935000).

Almost surely, 2258404180 is an apocalyptic number.

258404180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258404180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286440000).

258404180 is an abundant number, since it is smaller than the sum of its proper divisors (314475820).

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

258404180 is a wasteful number, since it uses less digits than its factorization.

258404180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 258404180 is about 16074.9550543695. The cubic root of 258404180 is about 636.9419378660.

The spelling of 258404180 in words is "two hundred fifty-eight million, four hundred four thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 439 878 1549 1756 2195 3098 4390 6196 7745 8341 8780 15490 16682 29431 30980 33364 41705 58862 83410 117724 147155 166820 294310 588620 680011 1360022 2720044 3400055 6800110 12920209 13600220 25840418 51680836 64601045 129202090 258404180