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255305640 = 233513191613
BaseRepresentation
bin11110011011110…
…10011110101000
3122210101212111110
433031322132220
51010324240030
641200030320
76220030212
oct1715723650
9583355443
10255305640
111211279a7
12716023a0
1340b7c635
1425c9b5b2
15176311b0
hexf37a7a8

255305640 has 64 divisors (see below), whose sum is σ = 766972800. Its totient is φ = 67987712.

The previous prime is 255305639. The next prime is 255305653. The reversal of 255305640 is 46503552.

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 = 255305598 and 255305607.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 157474 + ... + 159086.

It is an arithmetic number, because the mean of its divisors is an integer number (11983950).

Almost surely, 2255305640 is an apocalyptic number.

255305640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

255305640 is an abundant number, since it is smaller than the sum of its proper divisors (511667160).

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

255305640 is a wasteful number, since it uses less digits than its factorization.

255305640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 255305640 is about 15978.2865163947. The cubic root of 255305640 is about 634.3858239961.

The spelling of 255305640 in words is "two hundred fifty-five million, three hundred five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1319 1613 2638 3226 3957 4839 5276 6452 6595 7914 8065 9678 10552 12904 13190 15828 16130 19356 19785 24195 26380 31656 32260 38712 39570 48390 52760 64520 79140 96780 158280 193560 2127547 4255094 6382641 8510188 10637735 12765282 17020376 21275470 25530564 31913205 42550940 51061128 63826410 85101880 127652820 255305640