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2052138 = 2311173159
BaseRepresentation
bin111110101000000101010
310212021000010
413311000222
51011132023
6111552350
723304624
oct7650052
93767003
102052138
111181890
1282b6b6
1356b0aa
143b5c14
152a8093
hex1f502a

2052138 has 64 divisors (see below), whose sum is σ = 4976640. Its totient is φ = 556800.

The previous prime is 2052137. The next prime is 2052157. The reversal of 2052138 is 8312502.

It is a super-2 number, since 2×20521382 = 8422540742088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34753 + ... + 34811.

It is an arithmetic number, because the mean of its divisors is an integer number (77760).

22052138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2052138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488320).

2052138 is an abundant number, since it is smaller than the sum of its proper divisors (2924502).

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

2052138 is a wasteful number, since it uses less digits than its factorization.

2052138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2052138 is about 1432.5285337472. The cubic root of 2052138 is about 127.0775561171.

The spelling of 2052138 in words is "two million, fifty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 59 62 66 93 102 118 177 186 187 341 354 374 527 561 649 682 1003 1023 1054 1122 1298 1581 1829 1947 2006 2046 3009 3162 3658 3894 5487 5797 6018 10974 11033 11594 17391 20119 22066 31093 33099 34782 40238 60357 62186 66198 93279 120714 186558 342023 684046 1026069 2052138