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2172384 = 253219397
BaseRepresentation
bin1000010010010111100000
311002100221200
420102113200
51024004014
6114321200
724315324
oct10222740
94070850
102172384
111254165
12889200
135b0a46
14407984
152cda09
hex2125e0

2172384 has 72 divisors (see below), whose sum is σ = 6519240. Its totient is φ = 684288.

The previous prime is 2172383. The next prime is 2172389. The reversal of 2172384 is 4832712.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172383) 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, 5274 + ... + 5670.

It is an arithmetic number, because the mean of its divisors is an integer number (90545).

22172384 is an apocalyptic number.

2172384 is a gapful number since it is divisible by the number (24) 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 2172384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3259620).

2172384 is an abundant number, since it is smaller than the sum of its proper divisors (4346856).

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

2172384 is a wasteful number, since it uses less digits than its factorization.

2172384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 421 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 2172384 is about 1473.9009464682. The cubic root of 2172384 is about 129.5126526200.

It can be divided in two parts, 2172 and 384, that added together give a triangular number (2556 = T71).

The spelling of 2172384 in words is "two million, one hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 397 456 608 684 794 912 1191 1368 1588 1824 2382 2736 3176 3573 4764 5472 6352 7146 7543 9528 12704 14292 15086 19056 22629 28584 30172 38112 45258 57168 60344 67887 90516 114336 120688 135774 181032 241376 271548 362064 543096 724128 1086192 2172384