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2082756 = 22313379
BaseRepresentation
bin111111100011111000100
310220211000010
413330133010
51013122011
6112350220
723463114
oct7743704
93824003
102082756
1111a2895
12845370
1357c000
143c3044
152b21a6
hex1fc7c4

2082756 has 48 divisors (see below), whose sum is σ = 5331200. Its totient is φ = 632736.

The previous prime is 2082749. The next prime is 2082757. The reversal of 2082756 is 6572802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26325 + ... + 26403.

22082756 is an apocalyptic number.

2082756 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 2082756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2665600).

2082756 is an abundant number, since it is smaller than the sum of its proper divisors (3248444).

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

2082756 is a wasteful number, since it uses less digits than its factorization.

2082756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2082756 is about 1443.1756649833. The cubic root of 2082756 is about 127.7064398829.

The spelling of 2082756 in words is "two million, eighty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 79 156 158 169 237 316 338 474 507 676 948 1014 1027 2028 2054 2197 3081 4108 4394 6162 6591 8788 12324 13182 13351 26364 26702 40053 53404 80106 160212 173563 347126 520689 694252 1041378 2082756