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6102120 = 2335211241
BaseRepresentation
bin10111010001110001101000
3102111000112110
4113101301220
53030231440
6334442320
7102603303
oct27216150
912430473
106102120
113498682
1220633a0
13135862b
14b4bb3a
15808080
hex5d1c68

6102120 has 64 divisors (see below), whose sum is σ = 18469440. Its totient is φ = 1612800.

The previous prime is 6102101. The next prime is 6102139. The reversal of 6102120 is 212016.

It is an interprime number because it is at equal distance from previous prime (6102101) and next prime (6102139).

It is a Harshad number since it is a multiple of its sum of digits (12).

6102120 is an undulating number in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 6102096 and 6102105.

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 15 ways as a sum of consecutive naturals, for example, 25200 + ... + 25440.

It is an arithmetic number, because the mean of its divisors is an integer number (288585).

Almost surely, 26102120 is an apocalyptic number.

6102120 is a gapful number since it is divisible by the number (60) 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 6102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234720).

6102120 is an abundant number, since it is smaller than the sum of its proper divisors (12367320).

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

6102120 is a wasteful number, since it uses less digits than its factorization.

6102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 6102120 is about 2470.2469512176. The cubic root of 6102120 is about 182.7371783357.

Adding to 6102120 its reverse (212016), we get a palindrome (6314136).

The spelling of 6102120 in words is "six million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 211 241 422 482 633 723 844 964 1055 1205 1266 1446 1688 1928 2110 2410 2532 2892 3165 3615 4220 4820 5064 5784 6330 7230 8440 9640 12660 14460 25320 28920 50851 101702 152553 203404 254255 305106 406808 508510 610212 762765 1017020 1220424 1525530 2034040 3051060 6102120