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2065032 = 2332232943
BaseRepresentation
bin111111000001010001000
310212220200200
413320022020
51012040112
6112132200
723360334
oct7701210
93786620
102065032
111190542
12837060
13573c18
143ba7c4
152abcdc
hex1f8288

2065032 has 96 divisors (see below), whose sum is σ = 6177600. Its totient is φ = 620928.

The previous prime is 2065031. The next prime is 2065043. The reversal of 2065032 is 2305602.

It is a super-2 number, since 2×20650322 = 8528714322048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2064996 and 2065014.

It is not an unprimeable number, because it can be changed into a prime (2065031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48003 + ... + 48045.

It is an arithmetic number, because the mean of its divisors is an integer number (64350).

22065032 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 2065032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3088800).

2065032 is an abundant number, since it is smaller than the sum of its proper divisors (4112568).

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

2065032 is a wasteful number, since it uses less digits than its factorization.

2065032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2065032 is about 1437.0219205009. The cubic root of 2065032 is about 127.3431519951.

The spelling of 2065032 in words is "two million, sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 29 36 43 46 58 69 72 86 87 92 116 129 138 172 174 184 207 232 258 261 276 344 348 387 414 516 522 552 667 696 774 828 989 1032 1044 1247 1334 1548 1656 1978 2001 2088 2494 2668 2967 3096 3741 3956 4002 4988 5336 5934 6003 7482 7912 8004 8901 9976 11223 11868 12006 14964 16008 17802 22446 23736 24012 28681 29928 35604 44892 48024 57362 71208 86043 89784 114724 172086 229448 258129 344172 516258 688344 1032516 2065032