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255362040 = 233251813919
BaseRepresentation
bin11110011100010…
…00001111111000
3122210111201212100
433032020033320
51010333041130
641201143400
76220353513
oct1716101770
9583451770
10255362040
1112116630a
127162ab60
1340b9c1cb
1425cb3d7a
1517642c60
hexf3883f8

255362040 has 96 divisors (see below), whose sum is σ = 834724800. Its totient is φ = 67703040.

The previous prime is 255362017. The next prime is 255362047. The reversal of 255362040 is 40263552.

It is a junction number, because it is equal to n+sod(n) for n = 255361995 and 255362013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255362047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63201 + ... + 67119.

It is an arithmetic number, because the mean of its divisors is an integer number (8695050).

Almost surely, 2255362040 is an apocalyptic number.

255362040 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 255362040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417362400).

255362040 is an abundant number, since it is smaller than the sum of its proper divisors (579362760).

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

255362040 is a wasteful number, since it uses less digits than its factorization.

255362040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 255362040 is about 15980.0513140603. The cubic root of 255362040 is about 634.4325349711.

The spelling of 255362040 in words is "two hundred fifty-five million, three hundred sixty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 181 360 362 543 724 905 1086 1448 1629 1810 2172 2715 3258 3620 3919 4344 5430 6516 7240 7838 8145 10860 11757 13032 15676 16290 19595 21720 23514 31352 32580 35271 39190 47028 58785 65160 70542 78380 94056 117570 141084 156760 176355 235140 282168 352710 470280 705420 709339 1410840 1418678 2128017 2837356 3546695 4256034 5674712 6384051 7093390 8512068 10640085 12768102 14186780 17024136 21280170 25536204 28373560 31920255 42560340 51072408 63840510 85120680 127681020 255362040