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6120984 = 2333761113
BaseRepresentation
bin10111010110011000011000
3102111222102010
4113112120120
53031332414
6335105520
7103012302
oct27263030
912458363
106120984
113500871
1220722a0
1313640ac
14b54972
1580d959
hex5d6618

6120984 has 64 divisors (see below), whose sum is σ = 16115040. Its totient is φ = 1935360.

The previous prime is 6120971. The next prime is 6120997. The reversal of 6120984 is 4890216.

It is an interprime number because it is at equal distance from previous prime (6120971) and next prime (6120997).

It is a congruent number.

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, 54112 + ... + 54224.

Almost surely, 26120984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6120984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057520).

6120984 is an abundant number, since it is smaller than the sum of its proper divisors (9994056).

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

6120984 is a wasteful number, since it uses less digits than its factorization.

6120984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 6120984 is about 2474.0622465896. The cubic root of 6120984 is about 182.9252882637.

It can be divided in two parts, 6 and 120984, that multiplied together give a square (725904 = 8522).

The spelling of 6120984 in words is "six million, one hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 37 61 74 111 113 122 148 183 222 226 244 296 339 366 444 452 488 678 732 888 904 1356 1464 2257 2712 4181 4514 6771 6893 8362 9028 12543 13542 13786 16724 18056 20679 25086 27084 27572 33448 41358 50172 54168 55144 82716 100344 165432 255041 510082 765123 1020164 1530246 2040328 3060492 6120984