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258990840 = 23325719419
BaseRepresentation
bin11110110111111…
…10001011111000
3200001100002122100
433123332023320
51012300201330
641411023400
76263246223
oct1733761370
9601302570
10258990840
11123214719
127289ab60
134186cb24
142657a5ba
1517b0d060
hexf6fe2f8

258990840 has 48 divisors (see below), whose sum is σ = 841721400. Its totient is φ = 69064128.

The previous prime is 258990827. The next prime is 258990841. The reversal of 258990840 is 48099852.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258990841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359350 + ... + 360069.

Almost surely, 2258990840 is an apocalyptic number.

258990840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258990840 is an abundant number, since it is smaller than the sum of its proper divisors (582730560).

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

258990840 is a wasteful number, since it uses less digits than its factorization.

258990840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719436 (or 719429 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 258990840 is about 16093.1923495620. The cubic root of 258990840 is about 637.4235940725.

The spelling of 258990840 in words is "two hundred fifty-eight million, nine hundred ninety thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 719419 1438838 2158257 2877676 3597095 4316514 5755352 6474771 7194190 8633028 10791285 12949542 14388380 17266056 21582570 25899084 28776760 32373855 43165140 51798168 64747710 86330280 129495420 258990840