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2081792 = 21019107
BaseRepresentation
bin111111100010000000000
310220202200102
413330100000
51013104132
6112341532
723460236
oct7742000
93822612
102081792
1111a2099
128448a8
1357b73b
143c2956
152b1c62
hex1fc400

2081792 has 44 divisors (see below), whose sum is σ = 4421520. Its totient is φ = 976896.

The previous prime is 2081777. The next prime is 2081797. The reversal of 2081792 is 2971802.

It is a happy number.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2081797) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19403 + ... + 19509.

22081792 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 2081792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210760).

2081792 is an abundant number, since it is smaller than the sum of its proper divisors (2339728).

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

2081792 is a wasteful number, since it uses less digits than its factorization.

2081792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 2081792 is about 1442.8416406522. The cubic root of 2081792 is about 127.6867339409.

The spelling of 2081792 in words is "two million, eighty-one thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 107 128 152 214 256 304 428 512 608 856 1024 1216 1712 2033 2432 3424 4066 4864 6848 8132 9728 13696 16264 19456 27392 32528 54784 65056 109568 130112 260224 520448 1040896 2081792