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2132880 = 24358887
BaseRepresentation
bin1000001000101110010000
311000100202120
420020232100
51021223010
6113414240
724062211
oct10105620
94010676
102132880
111227512
1286a380
13598a79
143d7408
152c1e70
hex208b90

2132880 has 40 divisors (see below), whose sum is σ = 6612672. Its totient is φ = 568704.

The previous prime is 2132857. The next prime is 2132881. The reversal of 2132880 is 882312.

It is a tau number, because it is divible by the number of its divisors (40).

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 2132880.

It is not an unprimeable number, because it can be changed into a prime (2132881) 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, 4204 + ... + 4683.

22132880 is an apocalyptic number.

2132880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132880 is an abundant number, since it is smaller than the sum of its proper divisors (4479792).

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

2132880 is a wasteful number, since it uses less digits than its factorization.

2132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903 (or 8897 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 2132880 is about 1460.4382903772. The cubic root of 2132880 is about 128.7227987906.

The spelling of 2132880 in words is "two million, one hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 8887 17774 26661 35548 44435 53322 71096 88870 106644 133305 142192 177740 213288 266610 355480 426576 533220 710960 1066440 2132880