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2040918 = 2311172107
BaseRepresentation
bin111110010010001010110
310211200121120
413302101112
51010302133
6111424410
723230125
oct7622126
93750546
102040918
111174410
12825106
13565c59
143b1abc
152a4ab3
hex1f2456

2040918 has 48 divisors (see below), whose sum is σ = 4774464. Its totient is φ = 576640.

The previous prime is 2040917. The next prime is 2040919. The reversal of 2040918 is 8190402.

It is an interprime number because it is at equal distance from previous prime (2040917) and next prime (2040919).

2040918 is a modest number, since divided by 918 gives 204 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19021 + ... + 19127.

It is an arithmetic number, because the mean of its divisors is an integer number (99468).

22040918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387232).

2040918 is an abundant number, since it is smaller than the sum of its proper divisors (2733546).

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

2040918 is a wasteful number, since it uses less digits than its factorization.

2040918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2040918 is about 1428.6070138425. The cubic root of 2040918 is about 126.8455352319.

The spelling of 2040918 in words is "two million, forty thousand, nine hundred eighteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 107 187 214 289 321 374 561 578 642 867 1122 1177 1734 1819 2354 3179 3531 3638 5457 6358 7062 9537 10914 19074 20009 30923 40018 60027 61846 92769 120054 185538 340153 680306 1020459 2040918