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2152590 = 235112593
BaseRepresentation
bin1000001101100010001110
311001100210120
420031202032
51022340330
6114045410
724203526
oct10154216
94040716
102152590
111240300
12879866
135a4a2b
14400686
152c7c10
hex20d88e

2152590 has 48 divisors (see below), whose sum is σ = 5688144. Its totient is φ = 520960.

The previous prime is 2152589. The next prime is 2152607. The reversal of 2152590 is 952512.

It is a self number, because there is not a number n which added to its sum of digits gives 2152590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3334 + ... + 3926.

It is an arithmetic number, because the mean of its divisors is an integer number (118503).

22152590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2152590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844072).

2152590 is an abundant number, since it is smaller than the sum of its proper divisors (3535554).

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

2152590 is a wasteful number, since it uses less digits than its factorization.

2152590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 2152590 is about 1467.1707467095. The cubic root of 2152590 is about 129.1180938883.

The spelling of 2152590 in words is "two million, one hundred fifty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 593 605 726 1186 1210 1779 1815 2965 3558 3630 5930 6523 8895 13046 17790 19569 32615 39138 65230 71753 97845 143506 195690 215259 358765 430518 717530 1076295 2152590