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2144768 = 295971
BaseRepresentation
bin1000001011101000000000
311000222001212
420023220000
51022113033
6113545252
724141653
oct10135000
94028055
102144768
11123543a
12875228
135a12c2
143db89a
152c5748
hex20ba00

2144768 has 40 divisors (see below), whose sum is σ = 4419360. Its totient is φ = 1039360.

The previous prime is 2144759. The next prime is 2144783. The reversal of 2144768 is 8674412.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30173 + ... + 30243.

It is an arithmetic number, because the mean of its divisors is an integer number (110484).

22144768 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 2144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209680).

2144768 is an abundant number, since it is smaller than the sum of its proper divisors (2274592).

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

2144768 is an frugal number, since it uses more digits than its factorization.

2144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 132 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 2144768 is about 1464.5026459519. The cubic root of 2144768 is about 128.9615092583.

The spelling of 2144768 in words is "two million, one hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 59 64 71 118 128 142 236 256 284 472 512 568 944 1136 1888 2272 3776 4189 4544 7552 8378 9088 15104 16756 18176 30208 33512 36352 67024 134048 268096 536192 1072384 2144768