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1060216120 = 235312633251
BaseRepresentation
bin111111001100011…
…001110100111000
32201212222120002201
4333030121310320
54132403403440
6253112035544
735162455045
oct7714316470
92655876081
101060216120
114a4512077
12257092bb4
1313b861622
14a0b441cc
156312819a
hex3f319d38

1060216120 has 64 divisors (see below), whose sum is σ = 2472560640. Its totient is φ = 408720000.

The previous prime is 1060216109. The next prime is 1060216121. The reversal of 1060216120 is 216120601.

It is a super-2 number, since 2×10602161202 = 2248116442215708800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1060216121) 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 15 ways as a sum of consecutive naturals, for example, 324495 + ... + 327745.

It is an arithmetic number, because the mean of its divisors is an integer number (38633760).

Almost surely, 21060216120 is an apocalyptic number.

1060216120 is a gapful number since it is divisible by the number (10) 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 1060216120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236280320).

1060216120 is an abundant number, since it is smaller than the sum of its proper divisors (1412344520).

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

1060216120 is a wasteful number, since it uses less digits than its factorization.

1060216120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3552 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1060216120 is about 32560.9600595560. The cubic root of 1060216120 is about 1019.6821129093.

Adding to 1060216120 its reverse (216120601), we get a palindrome (1276336721).

The spelling of 1060216120 in words is "one billion, sixty million, two hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 263 310 526 620 1052 1240 1315 2104 2630 3251 5260 6502 8153 10520 13004 16255 16306 26008 32510 32612 40765 65020 65224 81530 100781 130040 163060 201562 326120 403124 503905 806248 855013 1007810 1710026 2015620 3420052 4031240 4275065 6840104 8550130 17100260 26505403 34200520 53010806 106021612 132527015 212043224 265054030 530108060 1060216120