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2083136 = 26112269
BaseRepresentation
bin111111100100101000000
310220211112012
413330211000
51013130021
6112352052
723464166
oct7744500
93824465
102083136
1111a3100
12845628
1357c233
143c3236
152b235b
hex1fc940

2083136 has 42 divisors (see below), whose sum is σ = 4560570. Its totient is φ = 943360.

The previous prime is 2083127. The next prime is 2083139. The reversal of 2083136 is 6313802.

It can be written as a sum of positive squares in only one way, i.e., 1308736 + 774400 = 1144^2 + 880^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2083139) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7610 + ... + 7878.

It is an arithmetic number, because the mean of its divisors is an integer number (108585).

22083136 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 2083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280285).

2083136 is an abundant number, since it is smaller than the sum of its proper divisors (2477434).

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

2083136 is a wasteful number, since it uses less digits than its factorization.

2083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 2083136 is about 1443.3073130834. The cubic root of 2083136 is about 127.7142061144.

Adding to 2083136 its reverse (6313802), we get a palindrome (8396938).

The spelling of 2083136 in words is "two million, eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 269 352 484 538 704 968 1076 1936 2152 2959 3872 4304 5918 7744 8608 11836 17216 23672 32549 47344 65098 94688 130196 189376 260392 520784 1041568 2083136