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2053590 = 2357211127
BaseRepresentation
bin111110101010111010110
310212022222220
413311113112
51011203330
6112003210
723312100
oct7652726
93768886
102053590
111182990
12830506
1356b956
143b6570
152a8710
hex1f55d6

2053590 has 96 divisors (see below), whose sum is σ = 6303744. Its totient is φ = 423360.

The previous prime is 2053573. The next prime is 2053603. The reversal of 2053590 is 953502.

It is a self number, because there is not a number n which added to its sum of digits gives 2053590.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16107 + ... + 16233.

It is an arithmetic number, because the mean of its divisors is an integer number (65664).

22053590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2053590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3151872).

2053590 is an abundant number, since it is smaller than the sum of its proper divisors (4250154).

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

2053590 is a wasteful number, since it uses less digits than its factorization.

2053590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 2053590 is about 1433.0352403203. The cubic root of 2053590 is about 127.1075204941.

The spelling of 2053590 in words is "two million, fifty-three thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 127 147 154 165 210 231 245 254 294 330 381 385 462 490 539 635 735 762 770 889 1078 1155 1270 1397 1470 1617 1778 1905 2310 2667 2695 2794 3234 3810 4191 4445 5334 5390 6223 6985 8085 8382 8890 9779 12446 13335 13970 16170 18669 19558 20955 26670 29337 31115 37338 41910 48895 58674 62230 68453 93345 97790 136906 146685 186690 205359 293370 342265 410718 684530 1026795 2053590