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2138148 = 223259393
BaseRepresentation
bin1000001010000000100100
311000121222200
420022000210
51021410043
6113454500
724113445
oct10120044
94017880
102138148
111230471
12871430
1359b29c
143d92cc
152c37d3
hex20a024

2138148 has 18 divisors (see below), whose sum is σ = 5404854. Its totient is φ = 712704.

The previous prime is 2138137. The next prime is 2138167. The reversal of 2138148 is 8418312.

It can be written as a sum of positive squares in only one way, i.e., 1557504 + 580644 = 1248^2 + 762^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 29661 + ... + 29732.

22138148 is an apocalyptic number.

It is an amenable number.

2138148 is an abundant number, since it is smaller than the sum of its proper divisors (3266706).

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

2138148 is a wasteful number, since it uses less digits than its factorization.

2138148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59403 (or 59398 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 2138148 is about 1462.2407462521. The cubic root of 2138148 is about 128.8286891328.

It can be divided in two parts, 21 and 38148, that multiplied together give a palindrome (801108).

The spelling of 2138148 in words is "two million, one hundred thirty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59393 118786 178179 237572 356358 534537 712716 1069074 2138148