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2089640 = 235717439
BaseRepresentation
bin111111110001010101000
310221011110002
413332022220
51013332030
6112442132
723522150
oct7761250
93834402
102089640
1111a7a83
12849348
13582197
143c5760
152b4245
hex1fe2a8

2089640 has 64 divisors (see below), whose sum is σ = 5702400. Its totient is φ = 672768.

The previous prime is 2089627. The next prime is 2089643. The reversal of 2089640 is 469802.

It is not an unprimeable number, because it can be changed into a prime (2089643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4541 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (89100).

22089640 is an apocalyptic number.

2089640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851200).

2089640 is an abundant number, since it is smaller than the sum of its proper divisors (3612760).

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

2089640 is a wasteful number, since it uses less digits than its factorization.

2089640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 2089640 is about 1445.5587155145. The cubic root of 2089640 is about 127.8469851233.

The spelling of 2089640 in words is "two million, eighty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 439 476 595 680 878 952 1190 1756 2195 2380 3073 3512 4390 4760 6146 7463 8780 12292 14926 15365 17560 24584 29852 30730 37315 52241 59704 61460 74630 104482 122920 149260 208964 261205 298520 417928 522410 1044820 2089640