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2089740 = 2235291201
BaseRepresentation
bin111111110001100001100
310221011120210
413332030030
51013332430
6112442420
723522352
oct7761414
93834523
102089740
1111a8064
12849410
13582243
143c57d2
152b42b0
hex1fe30c

2089740 has 48 divisors (see below), whose sum is σ = 6058080. Its totient is φ = 537600.

The previous prime is 2089727. The next prime is 2089751. The reversal of 2089740 is 479802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2089698 and 2089707.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140 + ... + 2340.

It is an arithmetic number, because the mean of its divisors is an integer number (126210).

22089740 is an apocalyptic number.

2089740 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 2089740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029040).

2089740 is an abundant number, since it is smaller than the sum of its proper divisors (3968340).

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

2089740 is a wasteful number, since it uses less digits than its factorization.

2089740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2089740 is about 1445.5933038030. The cubic root of 2089740 is about 127.8490244689.

The spelling of 2089740 in words is "two million, eighty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1201 1740 2402 3603 4804 6005 7206 12010 14412 18015 24020 34829 36030 69658 72060 104487 139316 174145 208974 348290 417948 522435 696580 1044870 2089740