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1882080 = 253251307
BaseRepresentation
bin111001011011111100000
310112121201200
413023133200
5440211310
6104201200
721666054
oct7133740
93477650
101882080
111076042
12769200
1350b875
1436dc64
152729c0
hex1cb7e0

1882080 has 72 divisors (see below), whose sum is σ = 6427512. Its totient is φ = 501504.

The previous prime is 1882073. The next prime is 1882081. The reversal of 1882080 is 802881.

It is a tau number, because it is divible by the number of its divisors (72).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1882081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 787 + ... + 2093.

It is an arithmetic number, because the mean of its divisors is an integer number (89271).

21882080 is an apocalyptic number.

1882080 is a gapful number since it is divisible by the number (10) 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 1882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213756).

1882080 is an abundant number, since it is smaller than the sum of its proper divisors (4545432).

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

1882080 is a wasteful number, since it uses less digits than its factorization.

1882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1317 counting only the distinct ones).

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

The square root of 1882080 is about 1371.8892083547. The cubic root of 1882080 is about 123.4656157180.

The spelling of 1882080 in words is "one million, eight hundred eighty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1307 1440 2614 3921 5228 6535 7842 10456 11763 13070 15684 19605 20912 23526 26140 31368 39210 41824 47052 52280 58815 62736 78420 94104 104560 117630 125472 156840 188208 209120 235260 313680 376416 470520 627360 941040 1882080