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2141328 = 24376373
BaseRepresentation
bin1000001010110010010000
311000210100110
420022302100
51022010303
6113521320
724125640
oct10126220
94023313
102141328
1112328a2
12873240
1359c877
143da520
152c4703
hex20ac90

2141328 has 40 divisors (see below), whose sum is σ = 6323008. Its totient is φ = 611712.

The previous prime is 2141311. The next prime is 2141329. The reversal of 2141328 is 8231412.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2141329) 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 7 ways as a sum of consecutive naturals, for example, 2851 + ... + 3522.

22141328 is an apocalyptic number.

2141328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2141328 is an abundant number, since it is smaller than the sum of its proper divisors (4181680).

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

2141328 is a wasteful number, since it uses less digits than its factorization.

2141328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6391 (or 6385 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2141328 is about 1463.3277144919. The cubic root of 2141328 is about 128.8925251099.

The spelling of 2141328 in words is "two million, one hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6373 12746 19119 25492 38238 44611 50984 76476 89222 101968 133833 152952 178444 267666 305904 356888 535332 713776 1070664 2141328