Search a number
-
+
2142408 = 233175989
BaseRepresentation
bin1000001011000011001000
311000211211110
420023003020
51022024113
6113530320
724132042
oct10130310
94024743
102142408
111233694
128739a0
135a01c8
143daa92
152c4bc3
hex20b0c8

2142408 has 64 divisors (see below), whose sum is σ = 5832000. Its totient is φ = 653312.

The previous prime is 2142403. The next prime is 2142431. The reversal of 2142408 is 8042412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142403) 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 15 ways as a sum of consecutive naturals, for example, 24028 + ... + 24116.

It is an arithmetic number, because the mean of its divisors is an integer number (91125).

22142408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916000).

2142408 is an abundant number, since it is smaller than the sum of its proper divisors (3689592).

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

2142408 is a wasteful number, since it uses less digits than its factorization.

2142408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2142408 is about 1463.6966898917. The cubic root of 2142408 is about 128.9141908754.

The spelling of 2142408 in words is "two million, one hundred forty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 89 102 118 136 177 178 204 236 267 354 356 408 472 534 708 712 1003 1068 1416 1513 2006 2136 3009 3026 4012 4539 5251 6018 6052 8024 9078 10502 12036 12104 15753 18156 21004 24072 31506 36312 42008 63012 89267 126024 178534 267801 357068 535602 714136 1071204 2142408