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2742936 = 233729563
BaseRepresentation
bin1010011101101010011000
312011100121020
422131222120
51200233221
6134442440
732212620
oct12355230
95140536
102742936
111603899
12b03420
13750651
14515880
15392ac6
hex29da98

2742936 has 64 divisors (see below), whose sum is σ = 8121600. Its totient is φ = 755328.

The previous prime is 2742931. The next prime is 2742937. The reversal of 2742936 is 6392472.

2742936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2742897 and 2742906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742931) 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 15 ways as a sum of consecutive naturals, for example, 4591 + ... + 5153.

It is an arithmetic number, because the mean of its divisors is an integer number (126900).

22742936 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 2742936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060800).

2742936 is an abundant number, since it is smaller than the sum of its proper divisors (5378664).

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

2742936 is a wasteful number, since it uses less digits than its factorization.

2742936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 604 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2742936 is about 1656.1811495123. The cubic root of 2742936 is about 139.9819024226.

The spelling of 2742936 in words is "two million, seven hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 563 609 696 812 1126 1218 1624 1689 2252 2436 3378 3941 4504 4872 6756 7882 11823 13512 15764 16327 23646 31528 32654 47292 48981 65308 94584 97962 114289 130616 195924 228578 342867 391848 457156 685734 914312 1371468 2742936