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6146980 = 225723283
BaseRepresentation
bin10111011100101110100100
3102120022001221
4113130232210
53033200410
6335430124
7103151140
oct27345644
912508057
106146980
113519354
122085344
131372b88
14b60220
158164da
hex5dcba4

6146980 has 72 divisors (see below), whose sum is σ = 15607872. Its totient is φ = 1991616.

The previous prime is 6146971. The next prime is 6146981. The reversal of 6146980 is 896416.

It is not an unprimeable number, because it can be changed into a prime (6146981) 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, 74019 + ... + 74101.

It is an arithmetic number, because the mean of its divisors is an integer number (216776).

Almost surely, 26146980 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 6146980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7803936).

6146980 is an abundant number, since it is smaller than the sum of its proper divisors (9460892).

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

6146980 is a wasteful number, since it uses less digits than its factorization.

6146980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 6146980 is about 2479.3103879910. The cubic root of 6146980 is about 183.1838855540.

The spelling of 6146980 in words is "six million, one hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 83 92 115 140 161 166 230 322 332 415 460 529 581 644 805 830 1058 1162 1610 1660 1909 2116 2324 2645 2905 3220 3703 3818 5290 5810 7406 7636 9545 10580 11620 13363 14812 18515 19090 26726 37030 38180 43907 53452 66815 74060 87814 133630 175628 219535 267260 307349 439070 614698 878140 1229396 1536745 3073490 6146980