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2087420 = 225295961
BaseRepresentation
bin111111101100111111100
310221001101212
413331213330
51013244140
6112423552
723512526
oct7754774
93831355
102087420
1111a6345
12847bb8
1358117a
143c4a16
152b3765
hex1fd9fc

2087420 has 48 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 779520.

The previous prime is 2087419. The next prime is 2087443. The reversal of 2087420 is 247802.

It is a congruent number.

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, 34190 + ... + 34250.

It is an arithmetic number, because the mean of its divisors is an integer number (97650).

22087420 is an apocalyptic number.

2087420 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 2087420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2087420 is an abundant number, since it is smaller than the sum of its proper divisors (2599780).

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

2087420 is a wasteful number, since it uses less digits than its factorization.

2087420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2087420 is about 1444.7906422731. The cubic root of 2087420 is about 127.8016948859.

The spelling of 2087420 in words is "two million, eighty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 59 61 116 118 122 145 236 244 290 295 305 580 590 610 1180 1220 1711 1769 3422 3538 3599 6844 7076 7198 8555 8845 14396 17110 17690 17995 34220 35380 35990 71980 104371 208742 417484 521855 1043710 2087420