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6142656 = 2631323107
BaseRepresentation
bin10111011011101011000000
3102120002010210
4113123223000
53033031111
6335354120
7103132422
oct27335300
912502123
106142656
113516083
122082940
131370c10
14b5c812
158150a6
hex5dbac0

6142656 has 112 divisors (see below), whose sum is σ = 18434304. Its totient is φ = 1790976.

The previous prime is 6142651. The next prime is 6142663. The reversal of 6142656 is 6562416.

6142656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (6142651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57355 + ... + 57461.

It is an arithmetic number, because the mean of its divisors is an integer number (164592).

Almost surely, 26142656 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 6142656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9217152).

6142656 is an abundant number, since it is smaller than the sum of its proper divisors (12291648).

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

6142656 is a wasteful number, since it uses less digits than its factorization.

6142656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 6142656 is about 2478.4382179106. The cubic root of 6142656 is about 183.1409228351.

The spelling of 6142656 in words is "six million, one hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 107 138 156 184 192 208 214 276 299 312 321 368 416 428 552 598 624 642 736 832 856 897 1104 1196 1248 1284 1391 1472 1712 1794 2208 2392 2461 2496 2568 2782 3424 3588 4173 4416 4784 4922 5136 5564 6848 7176 7383 8346 9568 9844 10272 11128 14352 14766 16692 19136 19688 20544 22256 28704 29532 31993 33384 39376 44512 57408 59064 63986 66768 78752 89024 95979 118128 127972 133536 157504 191958 236256 255944 267072 383916 472512 511888 767832 1023776 1535664 2047552 3071328 6142656