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2066688 = 28331323
BaseRepresentation
bin111111000100100000000
310212222222000
413320210000
51012113223
6112144000
723365221
oct7704400
93788860
102066688
111191808
12838000
135748c0
143bb248
152ac543
hex1f8900

2066688 has 144 divisors (see below), whose sum is σ = 6867840. Its totient is φ = 608256.

The previous prime is 2066683. The next prime is 2066693. The reversal of 2066688 is 8866602.

It is an interprime number because it is at equal distance from previous prime (2066683) and next prime (2066693).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2066681) 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, 89845 + ... + 89867.

22066688 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 2066688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3433920).

2066688 is an abundant number, since it is smaller than the sum of its proper divisors (4801152).

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

2066688 is a wasteful number, since it uses less digits than its factorization.

2066688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2066688 is about 1437.5979966597. The cubic root of 2066688 is about 127.3771827696.

The spelling of 2066688 in words is "two million, sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 64 69 72 78 92 96 104 108 117 128 138 144 156 184 192 207 208 216 234 256 276 288 299 312 351 368 384 414 416 432 468 552 576 598 621 624 702 736 768 828 832 864 897 936 1104 1152 1196 1242 1248 1404 1472 1656 1664 1728 1794 1872 2208 2304 2392 2484 2496 2691 2808 2944 3312 3328 3456 3588 3744 4416 4784 4968 4992 5382 5616 5888 6624 6912 7176 7488 8073 8832 9568 9936 9984 10764 11232 13248 14352 14976 16146 17664 19136 19872 21528 22464 26496 28704 29952 32292 38272 39744 43056 44928 52992 57408 64584 76544 79488 86112 89856 114816 129168 158976 172224 229632 258336 344448 516672 688896 1033344 2066688