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258620040 = 2336572181
BaseRepresentation
bin11110110101000…
…11101010001000
3200000122021000000
433122203222020
51012201320130
641355043000
76260143200
oct1732435210
9600567000
10258620040
11122a91078
1272740460
1341770113
14264c1400
1517a88260
hexf6a3a88

258620040 has 336 divisors, whose sum is σ = 1020490380. Its totient is φ = 58786560.

The previous prime is 258620029. The next prime is 258620059. The reversal of 258620040 is 40026852.

258620040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 217326564 + 41293476 = 14742^2 + 6426^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 258619986 and 258620013.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1428750 + ... + 1428930.

Almost surely, 2258620040 is an apocalyptic number.

258620040 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 258620040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510245190).

258620040 is an abundant number, since it is smaller than the sum of its proper divisors (761870340).

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

258620040 is a wasteful number, since it uses less digits than its factorization.

258620040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 258620040 is about 16081.6678239541. The cubic root of 258620040 is about 637.1192466850.

Adding to 258620040 its reverse (40026852), we get a palindrome (298646892).

The spelling of 258620040 in words is "two hundred fifty-eight million, six hundred twenty thousand, forty".