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2132919 = 33197401
BaseRepresentation
bin1000001000101110110111
311000100211000
420020232313
51021223134
6113414343
724062265
oct10105667
94010730
102132919
111227548
1286a3b3
13598aa9
143d7435
152c1e99
hex208bb7

2132919 has 16 divisors (see below), whose sum is σ = 3183840. Its totient is φ = 1411200.

The previous prime is 2132903. The next prime is 2132941. The reversal of 2132919 is 9192312.

2132919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2132919 - 24 = 2132903 is a prime.

It is a super-2 number, since 2×21329192 = 9098686921122, which contains 22 as substring.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 215 + 1 + 37 + 221 + 92 + 1 + 93 .

It is a junction number, because it is equal to n+sod(n) for n = 2132892 and 2132901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5119 + ... + 5519.

It is an arithmetic number, because the mean of its divisors is an integer number (198990).

22132919 is an apocalyptic number.

2132919 is a deficient number, since it is larger than the sum of its proper divisors (1050921).

2132919 is a wasteful number, since it uses less digits than its factorization.

2132919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 2132919 is about 1460.4516424723. The cubic root of 2132919 is about 128.7235833571.

The spelling of 2132919 in words is "two million, one hundred thirty-two thousand, nine hundred nineteen".

Divisors: 1 3 9 27 197 401 591 1203 1773 3609 5319 10827 78997 236991 710973 2132919