Search a number
-
+
3054210120 = 2332513652609
BaseRepresentation
bin1011011000001011…
…1000110001001000
321212212000221122100
42312002320301020
522223334210440
61223022153400
7135454233453
oct26602706110
97785027570
103054210120
1113280272a5
12712a22860
133989b5030
1420d8b849a
1512d201230
hexb60b8c48

3054210120 has 96 divisors (see below), whose sum is σ = 10689751800. Its totient is φ = 751804416.

The previous prime is 3054210101. The next prime is 3054210127. The reversal of 3054210120 is 210124503.

3054210120 is a `hidden beast` number, since 3 + 0 + 542 + 1 + 0 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2213326116 + 840884004 = 47046^2 + 28998^2 .

It is a super-2 number, since 2×30542101202 = 18656398914220828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3054210093 and 3054210102.

It is not an unprimeable number, because it can be changed into a prime (3054210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321625 + ... + 330984.

Almost surely, 23054210120 is an apocalyptic number.

3054210120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3054210120 is an abundant number, since it is smaller than the sum of its proper divisors (7635541680).

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

3054210120 is a wasteful number, since it uses less digits than its factorization.

3054210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652639 (or 652632 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 3054210120 is about 55264.9085767813. The cubic root of 3054210120 is about 1450.8849326669.

Adding to 3054210120 its reverse (210124503), we get a palindrome (3264334623).

The spelling of 3054210120 in words is "three billion, fifty-four million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 652609 1305218 1957827 2610436 3263045 3915654 5220872 5873481 6526090 7831308 8483917 9789135 11746962 13052180 15662616 16967834 19578270 23493924 25451751 26104360 29367405 33935668 39156540 42419585 46987848 50903502 58734810 67871336 76355253 78313080 84839170 101807004 117469620 127258755 152710506 169678340 203614008 234939240 254517510 305421012 339356680 381776265 509035020 610842024 763552530 1018070040 1527105060 3054210120