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3054861540 = 223451885717
BaseRepresentation
bin1011011000010101…
…0111110011100100
321212220021001020000
42312011113303210
522224021032130
61223044141300
7135462615603
oct26605276344
97786231200
103054861540
111328431765
12713097830
13398b826a3
1420da07a3a
1512d2ce260
hexb6157ce4

3054861540 has 60 divisors (see below), whose sum is σ = 9583218876. Its totient is φ = 814629312.

The previous prime is 3054861539. The next prime is 3054861547. The reversal of 3054861540 is 451684503.

It is a happy number.

3054861540 is a `hidden beast` number, since 3 + 0 + 54 + 8 + 61 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1954347264 + 1100514276 = 44208^2 + 33174^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3054861495 and 3054861504.

It is not an unprimeable number, because it can be changed into a prime (3054861547) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 941239 + ... + 944478.

Almost surely, 23054861540 is an apocalyptic number.

3054861540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3054861540 is an abundant number, since it is smaller than the sum of its proper divisors (6528357336).

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

3054861540 is a wasteful number, since it uses less digits than its factorization.

3054861540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885738 (or 1885727 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3054861540 is about 55270.8018758548. The cubic root of 3054861540 is about 1450.9880764410.

The spelling of 3054861540 in words is "three billion, fifty-four million, eight hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 1885717 3771434 5657151 7542868 9428585 11314302 16971453 18857170 22628604 28285755 33942906 37714340 50914359 56571510 67885812 84857265 101828718 113143020 152743077 169714530 203657436 254571795 305486154 339429060 509143590 610972308 763715385 1018287180 1527430770 3054861540