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2138526 = 2321321937
BaseRepresentation
bin1000001010000110011110
311000122111200
420022012132
51021413101
6113500330
724114525
oct10120636
94018450
102138526
111230785
128716a6
1359b500
143d94bc
152c3986
hex20a19e

2138526 has 72 divisors (see below), whose sum is σ = 5424120. Its totient is φ = 606528.

The previous prime is 2138503. The next prime is 2138527. The reversal of 2138526 is 6258312.

2138526 is a `hidden beast` number, since 2 + 138 + 526 = 666.

Its product of digits (2880) is a multiple of the sum of its prime factors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 2138526.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138527) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57780 + ... + 57816.

It is an arithmetic number, because the mean of its divisors is an integer number (75335).

22138526 is an apocalyptic number.

2138526 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712060).

2138526 is an abundant number, since it is smaller than the sum of its proper divisors (3285594).

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

2138526 is a wasteful number, since it uses less digits than its factorization.

2138526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 74 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2138526 is about 1462.3699942217. The cubic root of 2138526 is about 128.8362804962.

The spelling of 2138526 in words is "two million, one hundred thirty-eight thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 19 26 37 38 39 57 74 78 111 114 117 169 171 222 234 247 333 338 342 481 494 507 666 703 741 962 1014 1406 1443 1482 1521 2109 2223 2886 3042 3211 4218 4329 4446 6253 6327 6422 8658 9139 9633 12506 12654 18278 18759 19266 27417 28899 37518 54834 56277 57798 82251 112554 118807 164502 237614 356421 712842 1069263 2138526