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2158080 = 2935281
BaseRepresentation
bin1000001110111000000000
311001122022220
420032320000
51023024310
6114131040
724225531
oct10167000
94048286
102158080
111244441
12880a80
135a7392
14402688
152c9670
hex20ee00

2158080 has 80 divisors (see below), whose sum is σ = 6923664. Its totient is φ = 573440.

The previous prime is 2158073. The next prime is 2158081. The reversal of 2158080 is 808512.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2158080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2158081) 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, 7540 + ... + 7820.

22158080 is an apocalyptic number.

2158080 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 2158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461832).

2158080 is an abundant number, since it is smaller than the sum of its proper divisors (4765584).

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

2158080 is an equidigital number, since it uses as much as digits as its factorization.

2158080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2158080 is about 1469.0405031857. The cubic root of 2158080 is about 129.2277689867.

The spelling of 2158080 in words is "two million, one hundred fifty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 281 320 384 480 512 562 640 768 843 960 1124 1280 1405 1536 1686 1920 2248 2560 2810 3372 3840 4215 4496 5620 6744 7680 8430 8992 11240 13488 16860 17984 22480 26976 33720 35968 44960 53952 67440 71936 89920 107904 134880 143872 179840 215808 269760 359680 431616 539520 719360 1079040 2158080