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255432540 = 2235111073617
BaseRepresentation
bin11110011100110…
…01011101011100
3122210122022120110
433032121131130
51010342320130
641202450020
76221066166
oct1716313534
9583568513
10255432540
11121204280
1271663910
1340bc531c
1425cd1936
1517658ab0
hexf39975c

255432540 has 96 divisors (see below), whose sum is σ = 787739904. Its totient is φ = 61327360.

The previous prime is 255432539. The next prime is 255432547. The reversal of 255432540 is 45234552.

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 = 255432498 and 255432507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255432547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68812 + ... + 72428.

It is an arithmetic number, because the mean of its divisors is an integer number (8205624).

Almost surely, 2255432540 is an apocalyptic number.

255432540 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 255432540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393869952).

255432540 is an abundant number, since it is smaller than the sum of its proper divisors (532307364).

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

255432540 is a wasteful number, since it uses less digits than its factorization.

255432540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3747 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 255432540 is about 15982.2570371021. The cubic root of 255432540 is about 634.4909140190.

The spelling of 255432540 in words is "two hundred fifty-five million, four hundred thirty-two thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 1070 1177 1284 1605 2140 2354 3210 3531 3617 4708 5885 6420 7062 7234 10851 11770 14124 14468 17655 18085 21702 23540 35310 36170 39787 43404 54255 70620 72340 79574 108510 119361 159148 198935 217020 238722 387019 397870 477444 596805 774038 795740 1161057 1193610 1548076 1935095 2322114 2387220 3870190 4257209 4644228 5805285 7740380 8514418 11610570 12771627 17028836 21286045 23221140 25543254 42572090 51086508 63858135 85144180 127716270 255432540