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2179872 = 2534292
BaseRepresentation
bin1000010100001100100000
311002202020000
420110030200
51024223442
6114420000
724346212
oct10241440
94082200
102179872
111259852
12891600
135b4286
1440a5b2
152d0d4c
hex214320

2179872 has 90 divisors (see below), whose sum is σ = 6639633. Its totient is φ = 701568.

The previous prime is 2179867. The next prime is 2179897. The reversal of 2179872 is 2789712.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2178576 + 1296 = 1476^2 + 36^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1044.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 28 + 1 + 77 + 96 + 82 + 77 + 210 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 75154 + ... + 75182.

22179872 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 2179872

2179872 is an abundant number, since it is smaller than the sum of its proper divisors (4459761).

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

2179872 is an equidigital number, since it uses as much as digits as its factorization.

2179872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2179872 is about 1476.4389591175. The cubic root of 2179872 is about 129.6612878848.

Multiplying 2179872 by its product of digits (14112), we get a square (30762353664 = 1753922).

The spelling of 2179872 in words is "two million, one hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 783 841 864 928 1044 1296 1392 1566 1682 2088 2349 2523 2592 2784 3132 3364 4176 4698 5046 6264 6728 7569 8352 9396 10092 12528 13456 15138 18792 20184 22707 25056 26912 30276 37584 40368 45414 60552 68121 75168 80736 90828 121104 136242 181656 242208 272484 363312 544968 726624 1089936 2179872