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2032056 = 2332132167
BaseRepresentation
bin111110000000110111000
310211020110100
413300012320
51010011211
6111315400
723162235
oct7600670
93736410
102032056
111168794
1281bb60
13561c00
143ac78c
152a2156
hex1f01b8

2032056 has 72 divisors (see below), whose sum is σ = 5995080. Its totient is φ = 621504.

The previous prime is 2032039. The next prime is 2032057. The reversal of 2032056 is 6502302.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2032057) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12085 + ... + 12251.

It is an arithmetic number, because the mean of its divisors is an integer number (83265).

22032056 is an apocalyptic number.

2032056 is a gapful number since it is divisible by the number (26) 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 2032056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997540).

2032056 is an abundant number, since it is smaller than the sum of its proper divisors (3963024).

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

2032056 is a wasteful number, since it uses less digits than its factorization.

2032056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

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

The square root of 2032056 is about 1425.5020168348. The cubic root of 2032056 is about 126.6616741646.

Adding to 2032056 its reverse (6502302), we get a palindrome (8534358).

The spelling of 2032056 in words is "two million, thirty-two thousand, fifty-six", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 167 169 234 312 334 338 468 501 507 668 676 936 1002 1014 1336 1352 1503 1521 2004 2028 2171 3006 3042 4008 4056 4342 6012 6084 6513 8684 12024 12168 13026 17368 19539 26052 28223 39078 52104 56446 78156 84669 112892 156312 169338 225784 254007 338676 508014 677352 1016028 2032056