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268543120 = 2457942491
BaseRepresentation
bin10000000000011…
…010010010010000
3200201022101220111
4100000122102100
51022221334440
642351451104
76440402356
oct2000322220
9621271814
10268543120
1112864946a
1275b26a94
1343835971
14279457d6
15188984ea
hex1001a490

268543120 has 40 divisors (see below), whose sum is σ = 632280960. Its totient is φ = 106055040.

The previous prime is 268543117. The next prime is 268543189. The reversal of 268543120 is 21345862.

268543120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14926 + ... + 27565.

It is an arithmetic number, because the mean of its divisors is an integer number (15807024).

Almost surely, 2268543120 is an apocalyptic number.

268543120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268543120 is an abundant number, since it is smaller than the sum of its proper divisors (363737840).

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

268543120 is a wasteful number, since it uses less digits than its factorization.

268543120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42583 (or 42577 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 268543120 is about 16387.2853151460. The cubic root of 268543120 is about 645.1658087834.

Adding to 268543120 its reverse (21345862), we get a palindrome (289888982).

The spelling of 268543120 in words is "two hundred sixty-eight million, five hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 42491 84982 169964 212455 339928 424910 679856 849820 1699640 3356789 3399280 6713578 13427156 16783945 26854312 33567890 53708624 67135780 134271560 268543120