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258683020 = 22570118451
BaseRepresentation
bin11110110101100…
…11000010001100
3200000202110101121
433122303002030
51012210324040
641400250324
76260524621
oct1732630214
9600673347
10258683020
11123024422
12727709a4
134179299b
14264da348
1517a9bc4a
hexf6b308c

258683020 has 24 divisors (see below), whose sum is σ = 544038768. Its totient is φ = 103320000.

The previous prime is 258683017. The next prime is 258683023. The reversal of 258683020 is 20386852.

258683020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258683017) and next prime (258683023).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (258683023) 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, 4795 + ... + 23245.

It is an arithmetic number, because the mean of its divisors is an integer number (22668282).

Almost surely, 2258683020 is an apocalyptic number.

258683020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258683020 is an abundant number, since it is smaller than the sum of its proper divisors (285355748).

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

258683020 is a wasteful number, since it uses less digits than its factorization.

258683020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19161 (or 19159 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 258683020 is about 16083.6258349913. The cubic root of 258683020 is about 637.1709602766.

The spelling of 258683020 in words is "two hundred fifty-eight million, six hundred eighty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 701 1402 2804 3505 7010 14020 18451 36902 73804 92255 184510 369020 12934151 25868302 51736604 64670755 129341510 258683020