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258063920 = 24519116889
BaseRepresentation
bin11110110000110…
…11111000110000
3122222121000010222
433120123320300
51012031021140
641335112212
76252335642
oct1730337060
9588530128
10258063920
11122741274
1272512668
1341606c5a
14263b8892
15179c85b5
hexf61be30

258063920 has 40 divisors (see below), whose sum is σ = 603175680. Its totient is φ = 102679040.

The previous prime is 258063901. The next prime is 258063929. The reversal of 258063920 is 29360852.

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

It is not an unprimeable number, because it can be changed into a prime (258063929) 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, 6836 + ... + 23724.

It is an arithmetic number, because the mean of its divisors is an integer number (15079392).

Almost surely, 2258063920 is an apocalyptic number.

258063920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258063920 is an abundant number, since it is smaller than the sum of its proper divisors (345111760).

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

258063920 is a wasteful number, since it uses less digits than its factorization.

258063920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17093 (or 17087 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 258063920 is about 16064.3680236728. The cubic root of 258063920 is about 636.6622454609.

The spelling of 258063920 in words is "two hundred fifty-eight million, sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 191 382 764 955 1528 1910 3056 3820 7640 15280 16889 33778 67556 84445 135112 168890 270224 337780 675560 1351120 3225799 6451598 12903196 16128995 25806392 32257990 51612784 64515980 129031960 258063920