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2145132 = 2232115417
BaseRepresentation
bin1000001011101101101100
311000222120100
420023231230
51022121012
6113551100
724143013
oct10135554
94028510
102145132
111235740
12875490
135a1512
143dba7a
152c58dc
hex20bb6c

2145132 has 36 divisors (see below), whose sum is σ = 5916456. Its totient is φ = 649920.

The previous prime is 2145131. The next prime is 2145137. The reversal of 2145132 is 2315412.

Added to its reverse (2315412) it gives a square (4460544 = 21122).

2145132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2145131) 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 11 ways as a sum of consecutive naturals, for example, 2313 + ... + 3104.

It is an arithmetic number, because the mean of its divisors is an integer number (164346).

22145132 is an apocalyptic number.

2145132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2145132 is an abundant number, since it is smaller than the sum of its proper divisors (3771324).

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

2145132 is a wasteful number, since it uses less digits than its factorization.

2145132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5438 (or 5433 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2145132 is about 1464.6269149514. The cubic root of 2145132 is about 128.9688044271.

Adding to 2145132 its reverse (2315412), we get a square (4460544 = 21122).

The spelling of 2145132 in words is "two million, one hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 5417 10834 16251 21668 32502 48753 59587 65004 97506 119174 178761 195012 238348 357522 536283 715044 1072566 2145132