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2066064 = 2437111343
BaseRepresentation
bin111111000011010010000
310212222002220
413320122100
51012103224
6112141040
723363340
oct7703220
93788086
102066064
1111912a0
12837780
13574530
143bad20
152ac279
hex1f8690

2066064 has 160 divisors (see below), whose sum is σ = 7332864. Its totient is φ = 483840.

The previous prime is 2066059. The next prime is 2066069. The reversal of 2066064 is 4606602.

It is an interprime number because it is at equal distance from previous prime (2066059) and next prime (2066069).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48027 + ... + 48069.

22066064 is an apocalyptic number.

2066064 is a gapful number since it is divisible by the number (24) 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 2066064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3666432).

2066064 is an abundant number, since it is smaller than the sum of its proper divisors (5266800).

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

2066064 is a wasteful number, since it uses less digits than its factorization.

2066064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2066064 is about 1437.3809515922. The cubic root of 2066064 is about 127.3643617144.

The spelling of 2066064 in words is "two million, sixty-six thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 43 44 48 52 56 66 77 78 84 86 88 91 104 112 129 132 143 154 156 168 172 176 182 208 231 258 264 273 286 301 308 312 336 344 364 429 462 473 516 528 546 559 572 602 616 624 688 728 858 903 924 946 1001 1032 1092 1118 1144 1204 1232 1419 1456 1677 1716 1806 1848 1892 2002 2064 2184 2236 2288 2408 2838 3003 3311 3354 3432 3612 3696 3784 3913 4004 4368 4472 4816 5676 6006 6149 6622 6708 6864 7224 7568 7826 8008 8944 9933 11352 11739 12012 12298 13244 13416 14448 15652 16016 18447 19866 22704 23478 24024 24596 26488 26832 31304 36894 39732 43043 46956 48048 49192 52976 62608 73788 79464 86086 93912 98384 129129 147576 158928 172172 187824 258258 295152 344344 516516 688688 1033032 2066064