Search a number
-
+
2066592 = 2531119103
BaseRepresentation
bin111111000100010100000
310212222211110
413320202200
51012112332
6112143320
723365023
oct7704240
93788743
102066592
111191730
12837b40
13574848
143bb1ba
152ac4cc
hex1f88a0

2066592 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 587520.

The previous prime is 2066587. The next prime is 2066599. The reversal of 2066592 is 2956602.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2066599) 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, 20013 + ... + 20115.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

22066592 is an apocalyptic number.

2066592 is a gapful number since it is divisible by the number (22) 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 2066592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

2066592 is an abundant number, since it is smaller than the sum of its proper divisors (4223328).

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

2066592 is a wasteful number, since it uses less digits than its factorization.

2066592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 2066592 is about 1437.5646072438. The cubic root of 2066592 is about 127.3752104676.

The spelling of 2066592 in words is "two million, sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 66 76 88 96 103 114 132 152 176 206 209 228 264 304 309 352 412 418 456 528 608 618 627 824 836 912 1056 1133 1236 1254 1648 1672 1824 1957 2266 2472 2508 3296 3344 3399 3914 4532 4944 5016 5871 6688 6798 7828 9064 9888 10032 11742 13596 15656 18128 20064 21527 23484 27192 31312 36256 43054 46968 54384 62624 64581 86108 93936 108768 129162 172216 187872 258324 344432 516648 688864 1033296 2066592