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2088720 = 24335967
BaseRepresentation
bin111111101111100010000
310221010012000
413331330100
51013314340
6112434000
723516364
oct7757420
93833160
102088720
1111a7317
12848900
1358193a
143c52a4
152b3d30
hex1fdf10

2088720 has 80 divisors (see below), whose sum is σ = 7201920. Its totient is φ = 556416.

The previous prime is 2088719. The next prime is 2088721. The reversal of 2088720 is 278802.

It is an interprime number because it is at equal distance from previous prime (2088719) and next prime (2088721).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2088721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1677 + ... + 2643.

It is an arithmetic number, because the mean of its divisors is an integer number (90024).

22088720 is an apocalyptic number.

2088720 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 2088720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600960).

2088720 is an abundant number, since it is smaller than the sum of its proper divisors (5113200).

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

2088720 is a wasteful number, since it uses less digits than its factorization.

2088720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2088720 is about 1445.2404644211. The cubic root of 2088720 is about 127.8282200901.

The spelling of 2088720 in words is "two million, eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 967 1080 1934 2160 2901 3868 4835 5802 7736 8703 9670 11604 14505 15472 17406 19340 23208 26109 29010 34812 38680 43515 46416 52218 58020 69624 77360 87030 104436 116040 130545 139248 174060 208872 232080 261090 348120 417744 522180 696240 1044360 2088720