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2138904 = 233261487
BaseRepresentation
bin1000001010001100011000
311000200000200
420022030120
51021421104
6113502200
724115605
oct10121430
94020020
102138904
111230a99
12871960
1359b731
143d96ac
152c3b39
hex20a318

2138904 has 48 divisors (see below), whose sum is σ = 5899920. Its totient is φ = 699840.

The previous prime is 2138897. The next prime is 2138909. The reversal of 2138904 is 4098312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138909) 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 11 ways as a sum of consecutive naturals, for example, 4149 + ... + 4635.

It is an arithmetic number, because the mean of its divisors is an integer number (122915).

22138904 is an apocalyptic number.

2138904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949960).

2138904 is an abundant number, since it is smaller than the sum of its proper divisors (3761016).

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

2138904 is a wasteful number, since it uses less digits than its factorization.

2138904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2138904 is about 1462.4992307690. The cubic root of 2138904 is about 128.8438709650.

The spelling of 2138904 in words is "two million, one hundred thirty-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 487 488 549 732 974 1098 1461 1464 1948 2196 2922 3896 4383 4392 5844 8766 11688 17532 29707 35064 59414 89121 118828 178242 237656 267363 356484 534726 712968 1069452 2138904