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2148104 = 23789431
BaseRepresentation
bin1000001100011100001000
311001010122102
420030130020
51022214404
6114012532
724154460
oct10143410
94033572
102148104
1112379a2
12877148
135a298a
143dcba0
152c671e
hex20c708

2148104 has 32 divisors (see below), whose sum is σ = 4665600. Its totient is φ = 908160.

The previous prime is 2148073. The next prime is 2148127. The reversal of 2148104 is 4018412.

It is a super-2 number, since 2×21481042 = 9228701589632, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4769 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (145800).

22148104 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 2148104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2332800).

2148104 is an abundant number, since it is smaller than the sum of its proper divisors (2517496).

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

2148104 is a wasteful number, since it uses less digits than its factorization.

2148104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2148104 is about 1465.6411566274. The cubic root of 2148104 is about 129.0283374239.

The spelling of 2148104 in words is "two million, one hundred forty-eight thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 89 178 356 431 623 712 862 1246 1724 2492 3017 3448 4984 6034 12068 24136 38359 76718 153436 268513 306872 537026 1074052 2148104