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1980132 = 2237112143
BaseRepresentation
bin111100011011011100100
310201121020020
413203123210
51001331012
6110235140
722554660
oct7433344
93647206
101980132
111132780
127b5ab0
1354439b
143978a0
15291a8c
hex1e36e4

1980132 has 48 divisors (see below), whose sum is σ = 5763072. Its totient is φ = 514080.

The previous prime is 1980113. The next prime is 1980169. The reversal of 1980132 is 2310891.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148 + ... + 1995.

It is an arithmetic number, because the mean of its divisors is an integer number (120064).

21980132 is an apocalyptic number.

1980132 is a gapful number since it is divisible by the number (12) 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 1980132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881536).

1980132 is an abundant number, since it is smaller than the sum of its proper divisors (3782940).

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

1980132 is a wasteful number, since it uses less digits than its factorization.

1980132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1980132 is about 1407.1716313229. The cubic root of 1980132 is about 125.5735139629.

It can be divided in two parts, 1980 and 132, that added together give a palindrome (2112).

The spelling of 1980132 in words is "one million, nine hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 2143 4286 6429 8572 12858 15001 23573 25716 30002 45003 47146 60004 70719 90006 94292 141438 165011 180012 282876 330022 495033 660044 990066 1980132