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2154138 = 237217431
BaseRepresentation
bin1000001101111010011010
311001102220220
420031322122
51022413023
6114100510
724211200
oct10157232
94042826
102154138
111241488
1287a736
135a564c
14401070
152c83e3
hex20de9a

2154138 has 48 divisors (see below), whose sum is σ = 5318784. Its totient is φ = 577920.

The previous prime is 2154137. The next prime is 2154143. The reversal of 2154138 is 8314512.

2154138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2154137) 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 23 ways as a sum of consecutive naturals, for example, 4783 + ... + 5213.

It is an arithmetic number, because the mean of its divisors is an integer number (110808).

22154138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659392).

2154138 is an abundant number, since it is smaller than the sum of its proper divisors (3164646).

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

2154138 is a wasteful number, since it uses less digits than its factorization.

2154138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 460 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 2154138 is about 1467.6981978595. The cubic root of 2154138 is about 129.1490375293.

The spelling of 2154138 in words is "two million, one hundred fifty-four thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 238 294 357 431 714 833 862 1293 1666 2499 2586 3017 4998 6034 7327 9051 14654 18102 21119 21981 42238 43962 51289 63357 102578 126714 153867 307734 359023 718046 1077069 2154138