Search a number
-
+
256388720 = 2457457837
BaseRepresentation
bin11110100100000…
…10111001110000
3122212102220012112
433102002321300
51011113414340
641235144452
76232160660
oct1722027160
9585386175
10256388720
111217a7705
1271a45128
134116b603
14260a01a0
1517797065
hexf482e70

256388720 has 40 divisors (see below), whose sum is σ = 681262944. Its totient is φ = 87904512.

The previous prime is 256388687. The next prime is 256388723. The reversal of 256388720 is 27883652.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256388723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 228359 + ... + 229478.

Almost surely, 2256388720 is an apocalyptic number.

256388720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256388720 is an abundant number, since it is smaller than the sum of its proper divisors (424874224).

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

256388720 is a wasteful number, since it uses less digits than its factorization.

256388720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457857 (or 457851 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 41.

The square root of 256388720 is about 16012.1428921928. The cubic root of 256388720 is about 635.2816408292.

The spelling of 256388720 in words is "two hundred fifty-six million, three hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 457837 915674 1831348 2289185 3204859 3662696 4578370 6409718 7325392 9156740 12819436 16024295 18313480 25638872 32048590 36626960 51277744 64097180 128194360 256388720