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2042136 = 2332113251
BaseRepresentation
bin111110010100100011000
310211202021200
413302210120
51010322021
6111434200
723233515
oct7624430
93752250
102042136
111175318
12825960
13566685
143b230c
152a5126
hex1f2918

2042136 has 48 divisors (see below), whose sum is σ = 5601960. Its totient is φ = 672000.

The previous prime is 2042129. The next prime is 2042149. The reversal of 2042136 is 6312402.

It is a happy number.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8011 + ... + 8261.

22042136 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 2042136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800980).

2042136 is an abundant number, since it is smaller than the sum of its proper divisors (3559824).

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

2042136 is a wasteful number, since it uses less digits than its factorization.

2042136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 369 counting only the distinct ones).

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

The square root of 2042136 is about 1429.0332396414. The cubic root of 2042136 is about 126.8707636076.

Adding to 2042136 its reverse (6312402), we get a palindrome (8354538).

The spelling of 2042136 in words is "two million, forty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 251 339 452 502 678 753 904 1004 1017 1356 1506 2008 2034 2259 2712 3012 4068 4518 6024 8136 9036 18072 28363 56726 85089 113452 170178 226904 255267 340356 510534 680712 1021068 2042136