Search a number
-
+
258358740 = 223533113009
BaseRepresentation
bin11110110011000…
…11110111010100
3200000010222120020
433121203313110
51012114434430
641345305140
76255004323
oct1731436724
9600128506
10258358740
11122922822
12726351b0
13416ab1c3
14264540ba
1517a35b10
hexf663dd4

258358740 has 48 divisors (see below), whose sum is σ = 725645760. Its totient is φ = 68682240.

The previous prime is 258358703. The next prime is 258358757. The reversal of 258358740 is 47853852.

It is a junction number, because it is equal to n+sod(n) for n = 258358692 and 258358701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13356 + ... + 26364.

It is an arithmetic number, because the mean of its divisors is an integer number (15117620).

Almost surely, 2258358740 is an apocalyptic number.

258358740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258358740 is an abundant number, since it is smaller than the sum of its proper divisors (467287020).

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

258358740 is a wasteful number, since it uses less digits than its factorization.

258358740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13352 (or 13350 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 258358740 is about 16073.5416134715. The cubic root of 258358740 is about 636.9046005722.

The spelling of 258358740 in words is "two hundred fifty-eight million, three hundred fifty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 331 662 993 1324 1655 1986 3310 3972 4965 6620 9930 13009 19860 26018 39027 52036 65045 78054 130090 156108 195135 260180 390270 780540 4305979 8611958 12917937 17223916 21529895 25835874 43059790 51671748 64589685 86119580 129179370 258358740