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2032128 = 293472
BaseRepresentation
bin111110000001000000000
310211020120000
413300020000
51010012003
6111320000
723162400
oct7601000
93736500
102032128
11116884a
12820000
13561c57
143ac800
152a21a3
hex1f0200

2032128 has 150 divisors (see below), whose sum is σ = 7055631. Its totient is φ = 580608.

The previous prime is 2032111. The next prime is 2032133. The reversal of 2032128 is 8212302.

It is a happy number.

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 only one way, i.e., 1016064 + 1016064 = 1008^2 + 1008^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1008.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2032128.

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, 290301 + ... + 290307.

22032128 is an apocalyptic number.

2032128 is a gapful number since it is divisible by the number (28) 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 2032128

2032128 is an abundant number, since it is smaller than the sum of its proper divisors (5023503).

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

2032128 is an frugal number, since it uses more digits than its factorization.

2032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2032128 is about 1425.5272708721. The cubic root of 2032128 is about 126.6631701097.

The spelling of 2032128 in words is "two million, thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 252 256 288 294 324 336 378 384 392 432 441 448 504 512 567 576 588 648 672 756 768 784 864 882 896 1008 1134 1152 1176 1296 1323 1344 1512 1536 1568 1728 1764 1792 2016 2268 2304 2352 2592 2646 2688 3024 3136 3456 3528 3584 3969 4032 4536 4608 4704 5184 5292 5376 6048 6272 6912 7056 7938 8064 9072 9408 10368 10584 10752 12096 12544 13824 14112 15876 16128 18144 18816 20736 21168 24192 25088 28224 31752 32256 36288 37632 41472 42336 48384 56448 63504 72576 75264 84672 96768 112896 127008 145152 169344 225792 254016 290304 338688 508032 677376 1016064 2032128