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2036142 = 232314189
BaseRepresentation
bin111110001000110101110
310211110001200
413301012232
51010124032
6111350330
723210163
oct7610656
93743050
102036142
111170869
128223a6
13563a24
143b006a
152a347c
hex1f11ae

2036142 has 48 divisors (see below), whose sum is σ = 4717440. Its totient is φ = 633600.

The previous prime is 2036137. The next prime is 2036143. The reversal of 2036142 is 2416302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2036143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22834 + ... + 22922.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

22036142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2036142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358720).

2036142 is an abundant number, since it is smaller than the sum of its proper divisors (2681298).

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

2036142 is a wasteful number, since it uses less digits than its factorization.

2036142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2036142 is about 1426.9344764214. The cubic root of 2036142 is about 126.7465132148.

The spelling of 2036142 in words is "two million, thirty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 31 41 62 82 89 93 123 178 186 246 267 279 369 534 558 738 801 1271 1602 2542 2759 3649 3813 5518 7298 7626 8277 10947 11439 16554 21894 22878 24831 32841 49662 65682 113119 226238 339357 678714 1018071 2036142