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2159680 = 26517397
BaseRepresentation
bin1000001111010001000000
311001201112011
420033101000
51023102210
6114142304
724233305
oct10172100
94051464
102159680
111245666
12881994
135a8023
144030ac
152c9d8a
hex20f440

2159680 has 56 divisors (see below), whose sum is σ = 5458968. Its totient is φ = 811008.

The previous prime is 2159671. The next prime is 2159681. The reversal of 2159680 is 869512.

It can be written as a sum of positive squares in 4 ways, for example, as 602176 + 1557504 = 776^2 + 1248^2 .

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2159681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5242 + ... + 5638.

22159680 is an apocalyptic number.

2159680 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 2159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729484).

2159680 is an abundant number, since it is smaller than the sum of its proper divisors (3299288).

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

2159680 is a wasteful number, since it uses less digits than its factorization.

2159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 2159680 is about 1469.5849754267. The cubic root of 2159680 is about 129.2596975765.

The spelling of 2159680 in words is "two million, one hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 397 544 680 794 1088 1360 1588 1985 2720 3176 3970 5440 6352 6749 7940 12704 13498 15880 25408 26996 31760 33745 53992 63520 67490 107984 127040 134980 215968 269960 431936 539920 1079840 2159680