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2171328 = 26343263
BaseRepresentation
bin1000010010000111000000
311002022111120
420102013000
51023440303
6114312240
724312255
oct10220700
94068446
102171328
111253395
12888680
135b0413
1440742c
152cd553
hex2121c0

2171328 has 56 divisors (see below), whose sum is σ = 5900928. Its totient is φ = 704256.

The previous prime is 2171311. The next prime is 2171329. The reversal of 2171328 is 8231712.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2171298 and 2171307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8125 + ... + 8387.

22171328 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 2171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950464).

2171328 is an abundant number, since it is smaller than the sum of its proper divisors (3729600).

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

2171328 is a wasteful number, since it uses less digits than its factorization.

2171328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its digits is 672, while the sum is 24.

The square root of 2171328 is about 1473.5426698946. The cubic root of 2171328 is about 129.4916637697.

The spelling of 2171328 in words is "two million, one hundred seventy-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 263 344 516 526 688 789 1032 1052 1376 1578 2064 2104 2752 3156 4128 4208 6312 8256 8416 11309 12624 16832 22618 25248 33927 45236 50496 67854 90472 135708 180944 271416 361888 542832 723776 1085664 2171328