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2148328 = 237132227
BaseRepresentation
bin1000001100011111101000
311001010221201
420030133220
51022221303
6114013544
724155230
oct10143750
94033851
102148328
111238086
128772b4
135a2b00
143dccc0
152c681d
hex20c7e8

2148328 has 48 divisors (see below), whose sum is σ = 5006880. Its totient is φ = 846144.

The previous prime is 2148301. The next prime is 2148329. The reversal of 2148328 is 8238412.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2148296 and 2148305.

It is not an unprimeable number, because it can be changed into a prime (2148329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9351 + ... + 9577.

It is an arithmetic number, because the mean of its divisors is an integer number (104310).

22148328 is an apocalyptic number.

2148328 is a gapful number since it is divisible by the number (28) 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 2148328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503440).

2148328 is an abundant number, since it is smaller than the sum of its proper divisors (2858552).

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

2148328 is a wasteful number, since it uses less digits than its factorization.

2148328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 249 counting only the distinct ones).

The product of its digits is 3072, while the sum is 28.

The square root of 2148328 is about 1465.7175717034. The cubic root of 2148328 is about 129.0328222072.

It can be divided in two parts, 214832 and 8, that added together give a triangular number (214840 = T655).

The spelling of 2148328 in words is "two million, one hundred forty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 227 338 364 454 676 728 908 1183 1352 1589 1816 2366 2951 3178 4732 5902 6356 9464 11804 12712 20657 23608 38363 41314 76726 82628 153452 165256 268541 306904 537082 1074164 2148328