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2188720 = 245109251
BaseRepresentation
bin1000010110010110110000
311010012100201
420112112300
51030014340
6114524544
724414052
oct10262660
94105321
102188720
111265466
12896754
135b8301
1440d8d2
152d379a
hex2165b0

2188720 has 40 divisors (see below), whose sum is σ = 5155920. Its totient is φ = 864000.

The previous prime is 2188691. The next prime is 2188729. The reversal of 2188720 is 278812.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2188729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8595 + ... + 8845.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

22188720 is an apocalyptic number.

2188720 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 2188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577960).

2188720 is an abundant number, since it is smaller than the sum of its proper divisors (2967200).

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

2188720 is a wasteful number, since it uses less digits than its factorization.

2188720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 2188720 is about 1479.4323235620. The cubic root of 2188720 is about 129.8364807958.

The spelling of 2188720 in words is "two million, one hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 251 436 502 545 872 1004 1090 1255 1744 2008 2180 2510 4016 4360 5020 8720 10040 20080 27359 54718 109436 136795 218872 273590 437744 547180 1094360 2188720