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2138132 = 223143401
BaseRepresentation
bin1000001010000000010100
311000121222002
420022000110
51021410012
6113454432
724113423
oct10120024
94017862
102138132
111230457
12871418
1359b289
143d92ba
152c37c2
hex20a014

2138132 has 24 divisors (see below), whose sum is σ = 3962112. Its totient is φ = 1008000.

The previous prime is 2138093. The next prime is 2138137. The reversal of 2138132 is 2318312.

It is a Smith number, since the sum of its digits (20) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 213 + 1 + 32 + 85 + 1 + 32 + 221 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5132 + ... + 5532.

It is an arithmetic number, because the mean of its divisors is an integer number (165088).

22138132 is an apocalyptic number.

It is an amenable number.

2138132 is a deficient number, since it is larger than the sum of its proper divisors (1823980).

2138132 is a wasteful number, since it uses less digits than its factorization.

2138132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 477 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 2138132 is about 1462.2352751866. The cubic root of 2138132 is about 128.8283677856.

The spelling of 2138132 in words is "two million, one hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 4 31 43 62 86 124 172 401 802 1333 1604 2666 5332 12431 17243 24862 34486 49724 68972 534533 1069066 2138132