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2148120 = 233551317
BaseRepresentation
bin1000001100011100011000
311001010200000
420030130120
51022214440
6114013000
724154512
oct10143430
94033600
102148120
111237a07
12877160
135a29a0
143dcbb2
152c6730
hex20c718

2148120 has 192 divisors, whose sum is σ = 8255520. Its totient is φ = 497664.

The previous prime is 2148073. The next prime is 2148127. The reversal of 2148120 is 218412.

It is a super-2 number, since 2×21481202 = 9228839068800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2148093 and 2148102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126352 + ... + 126368.

22148120 is an apocalyptic number.

2148120 is a gapful number since it is divisible by the number (20) 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 2148120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2148120 is an abundant number, since it is smaller than the sum of its proper divisors (6107400).

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

2148120 is a wasteful number, since it uses less digits than its factorization.

2148120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2148120 is about 1465.6466149792. The cubic root of 2148120 is about 129.0286577759.

The spelling of 2148120 in words is "two million, one hundred forty-eight thousand, one hundred twenty".