Search a number
-
+
2032032 = 25361347
BaseRepresentation
bin111110000000110100000
310211020102110
413300012200
51010011112
6111315320
723162202
oct7600640
93736373
102032032
111168772
1281bb40
13561bb2
143ac772
152a213c
hex1f01a0

2032032 has 48 divisors (see below), whose sum is σ = 5437152. Its totient is φ = 664320.

The previous prime is 2032021. The next prime is 2032039. The reversal of 2032032 is 2302302.

2032032 is nontrivially palindromic in base 9.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2031999 and 2032017.

It is not an unprimeable number, because it can be changed into a prime (2032039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5683 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (113274).

22032032 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 2032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2718576).

2032032 is an abundant number, since it is smaller than the sum of its proper divisors (3405120).

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

2032032 is a wasteful number, since it uses less digits than its factorization.

2032032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2032032 is about 1425.4935987229. The cubic root of 2032032 is about 126.6611755083.

Adding to 2032032 its reverse (2302302), we get a palindrome (4334334).

The spelling of 2032032 in words is "two million, thirty-two thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 347 366 488 694 732 976 1041 1388 1464 1952 2082 2776 2928 4164 5552 5856 8328 11104 16656 21167 33312 42334 63501 84668 127002 169336 254004 338672 508008 677344 1016016 2032032