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2088180 = 223451289
BaseRepresentation
bin111111101110011110100
310221002110000
413331303310
51013310210
6112431300
723514663
oct7756364
93832400
102088180
1111a6976
12848530
13581613
143c4dda
152b3ac0
hex1fdcf4

2088180 has 60 divisors (see below), whose sum is σ = 6555780. Its totient is φ = 556416.

The previous prime is 2088139. The next prime is 2088199. The reversal of 2088180 is 818802.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 842724 = 1116^2 + 918^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 976 + ... + 2264.

It is an arithmetic number, because the mean of its divisors is an integer number (109263).

22088180 is an apocalyptic number.

2088180 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 2088180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277890).

2088180 is an abundant number, since it is smaller than the sum of its proper divisors (4467600).

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

2088180 is a wasteful number, since it uses less digits than its factorization.

2088180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 2088180 is about 1445.0536322227. The cubic root of 2088180 is about 127.8172032651.

The spelling of 2088180 in words is "two million, eighty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1289 1620 2578 3867 5156 6445 7734 11601 12890 15468 19335 23202 25780 34803 38670 46404 58005 69606 77340 104409 116010 139212 174015 208818 232020 348030 417636 522045 696060 1044090 2088180