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1256255040 = 26351308599
BaseRepresentation
bin100101011100000…
…1110111001000000
310020112212100221110
41022320032321000
510033100130130
6324353523320
743062664065
oct11270167100
93215770843
101256255040
1159513a007
122b0873540
1317035c9a1
14bcbb4c6c
157544dab0
hex4ae0ee40

1256255040 has 56 divisors (see below), whose sum is σ = 3988612800. Its totient is φ = 335001088.

The previous prime is 1256255027. The next prime is 1256255071. The reversal of 1256255040 is 405526521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1256254989 and 1256255007.

It is an unprimeable number.

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, 653340 + ... + 655259.

Almost surely, 21256255040 is an apocalyptic number.

1256255040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1256255040 is an abundant number, since it is smaller than the sum of its proper divisors (2732357760).

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

1256255040 is a wasteful number, since it uses less digits than its factorization.

1256255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308619 (or 1308609 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1256255040 is about 35443.6882956613. The cubic root of 1256255040 is about 1079.0111662438.

The spelling of 1256255040 in words is "one billion, two hundred fifty-six million, two hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1308599 2617198 3925797 5234396 6542995 7851594 10468792 13085990 15703188 19628985 20937584 26171980 31406376 39257970 41875168 52343960 62812752 78515940 83750336 104687920 125625504 157031880 209375840 251251008 314063760 418751680 628127520 1256255040