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255546940 = 225111318867
BaseRepresentation
bin11110011101101…
…01011000111100
3122210212010111111
433032311120330
51010410000230
641205131404
76222053545
oct1716653074
9583763444
10255546940
11121282220
12716b9b64
1340c3540c
1425d214cc
151767c92a
hexf3b563c

255546940 has 48 divisors (see below), whose sum is σ = 589970304. Its totient is φ = 92206400.

The previous prime is 255546931. The next prime is 255546959. The reversal of 255546940 is 49645552.

It is a junction number, because it is equal to n+sod(n) for n = 255546893 and 255546902.

It is a congruent number.

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, 24387 + ... + 33253.

It is an arithmetic number, because the mean of its divisors is an integer number (12291048).

Almost surely, 2255546940 is an apocalyptic number.

255546940 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 255546940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294985152).

255546940 is an abundant number, since it is smaller than the sum of its proper divisors (334423364).

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

255546940 is a wasteful number, since it uses less digits than its factorization.

255546940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9018 (or 9016 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The square root of 255546940 is about 15985.8356053101. The cubic root of 255546940 is about 634.5856225566.

The spelling of 255546940 in words is "two hundred fifty-five million, five hundred forty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 131 220 262 524 655 1310 1441 2620 2882 5764 7205 8867 14410 17734 28820 35468 44335 88670 97537 177340 195074 390148 487685 975370 1161577 1950740 2323154 4646308 5807885 11615770 12777347 23231540 25554694 51109388 63886735 127773470 255546940