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2071980 = 223451279
BaseRepresentation
bin111111001110110101100
310220021020000
413321312230
51012300410
6112224300
723416521
oct7716654
93807200
102071980
111195789
1283b090
13577131
143bd148
152addc0
hex1f9dac

2071980 has 60 divisors (see below), whose sum is σ = 6504960. Its totient is φ = 552096.

The previous prime is 2071973. The next prime is 2071991. The reversal of 2071980 is 891702.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×20719802 = 8586202240800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 981 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (108416).

22071980 is an apocalyptic number.

2071980 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 2071980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3252480).

2071980 is an abundant number, since it is smaller than the sum of its proper divisors (4432980).

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

2071980 is a wasteful number, since it uses less digits than its factorization.

2071980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2071980 is about 1439.4373900938. The cubic root of 2071980 is about 127.4858115699.

It can be divided in two parts, 207 and 1980, that added together give a 7-th power (2187 = 37).

The spelling of 2071980 in words is "two million, seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1279 1620 2558 3837 5116 6395 7674 11511 12790 15348 19185 23022 25580 34533 38370 46044 57555 69066 76740 103599 115110 138132 172665 207198 230220 345330 414396 517995 690660 1035990 2071980