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255399040 = 2751330697
BaseRepresentation
bin11110011100100…
…01010010000000
3122210120121121201
433032101102000
51010340232130
641202030544
76220566421
oct1716212200
9583517551
10255399040
11121191096
1271648454
1340bb2cc0
1425cc3648
151764dbca
hexf391480

255399040 has 64 divisors (see below), whose sum is σ = 657551160. Its totient is φ = 94298112.

The previous prime is 255399019. The next prime is 255399073. The reversal of 255399040 is 40993552.

It can be written as a sum of positive squares in 4 ways, for example, as 98247744 + 157151296 = 9912^2 + 12536^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7029 + ... + 23668.

Almost surely, 2255399040 is an apocalyptic number.

255399040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255399040 is an abundant number, since it is smaller than the sum of its proper divisors (402152120).

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

255399040 is a wasteful number, since it uses less digits than its factorization.

255399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30729 (or 30717 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 255399040 is about 15981.2089655320. The cubic root of 255399040 is about 634.4631749599.

The spelling of 255399040 in words is "two hundred fifty-five million, three hundred ninety-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 30697 61394 122788 153485 245576 306970 399061 491152 613940 798122 982304 1227880 1596244 1964608 1995305 2455760 3192488 3929216 3990610 4911520 6384976 7981220 9823040 12769952 15962440 19646080 25539904 31924880 51079808 63849760 127699520 255399040