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255105032 = 237131392521
BaseRepresentation
bin11110011010010…
…01100000001000
3122210000200022112
433031021200020
51010301330112
641151441452
76215233310
oct1715114010
9583020275
10255105032
11121000206
1271526288
1340b0c230
1425c48440
15175e1a22
hexf349808

255105032 has 64 divisors (see below), whose sum is σ = 593174400. Its totient is φ = 100154880.

The previous prime is 255105023. The next prime is 255105073. The reversal of 255105032 is 230501552.

It is a junction number, because it is equal to n+sod(n) for n = 255104989 and 255105007.

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 15 ways as a sum of consecutive naturals, for example, 99932 + ... + 102452.

It is an arithmetic number, because the mean of its divisors is an integer number (9268350).

Almost surely, 2255105032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255105032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296587200).

255105032 is an abundant number, since it is smaller than the sum of its proper divisors (338069368).

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

255105032 is a wasteful number, since it uses less digits than its factorization.

255105032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 255105032 is about 15972.0077635844. The cubic root of 255105032 is about 634.2196229172.

Adding to 255105032 its reverse (230501552), we get a palindrome (485606584).

The spelling of 255105032 in words is "two hundred fifty-five million, one hundred five thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 139 182 278 364 556 728 973 1112 1807 1946 2521 3614 3892 5042 7228 7784 10084 12649 14456 17647 20168 25298 32773 35294 50596 65546 70588 101192 131092 141176 229411 262184 350419 458822 700838 917644 1401676 1835288 2452933 2803352 4555447 4905866 9110894 9811732 18221788 19623464 31888129 36443576 63776258 127552516 255105032