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2754114120 = 233257650317
BaseRepresentation
bin1010010000101000…
…0111001001001000
321002221100111022200
42210022013021020
521120023122440
61133142120200
7125151404142
oct24412071110
97087314280
102754114120
11119369777a
1264a420060
1334b782634
141c1abbc92
15111bc3c30
hexa4287248

2754114120 has 48 divisors (see below), whose sum is σ = 8950872060. Its totient is φ = 734430336.

The previous prime is 2754114109. The next prime is 2754114133. The reversal of 2754114120 is 214114572.

It can be written as a sum of positive squares in 2 ways, for example, as 2675579076 + 78535044 = 51726^2 + 8862^2 .

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 11 ways as a sum of consecutive naturals, for example, 3824799 + ... + 3825518.

Almost surely, 22754114120 is an apocalyptic number.

2754114120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2754114120 is an abundant number, since it is smaller than the sum of its proper divisors (6196757940).

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

2754114120 is a wasteful number, since it uses less digits than its factorization.

2754114120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7650334 (or 7650327 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2754114120 is about 52479.6543433739. The cubic root of 2754114120 is about 1401.7179793922.

Adding to 2754114120 its reverse (214114572), we get a palindrome (2968228692).

The spelling of 2754114120 in words is "two billion, seven hundred fifty-four million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 7650317 15300634 22950951 30601268 38251585 45901902 61202536 68852853 76503170 91803804 114754755 137705706 153006340 183607608 229509510 275411412 306012680 344264265 459019020 550822824 688528530 918038040 1377057060 2754114120