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2936142 = 233114943
BaseRepresentation
bin1011001100110101001110
312112011122000
423030311032
51222424032
6142533130
733646116
oct13146516
95464560
102936142
111725a70
12b971a6
137ba581
14566046
153cee7c
hex2ccd4e

2936142 has 32 divisors (see below), whose sum is σ = 7119360. Its totient is φ = 889560.

The previous prime is 2936117. The next prime is 2936159. The reversal of 2936142 is 2416392.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1878 + ... + 3065.

It is an arithmetic number, because the mean of its divisors is an integer number (222480).

22936142 is an apocalyptic number.

2936142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2936142 is an abundant number, since it is smaller than the sum of its proper divisors (4183218).

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

2936142 is a wasteful number, since it uses less digits than its factorization.

2936142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4965 (or 4959 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2936142 is about 1713.5174349857. The cubic root of 2936142 is about 143.1942849586.

It can be divided in two parts, 29361 and 42, that added together give a triangular number (29403 = T242).

The spelling of 2936142 in words is "two million, nine hundred thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 4943 9886 14829 29658 44487 54373 88974 108746 133461 163119 266922 326238 489357 978714 1468071 2936142