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2161728 = 2635139
BaseRepresentation
bin1000001111110001000000
311001211100000
420033301000
51023133403
6114200000
724242262
oct10176100
94054300
102161728
111247158
12883000
135a8c3a
14403b32
152ca7a3
hex20fc40

2161728 has 84 divisors (see below), whose sum is σ = 6471920. Its totient is φ = 715392.

The previous prime is 2161699. The next prime is 2161729. The reversal of 2161728 is 8271612.

2161728 is a `hidden beast` number, since 21 + 617 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (2161729) 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, 15483 + ... + 15621.

22161728 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 2161728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235960).

2161728 is an abundant number, since it is smaller than the sum of its proper divisors (4310192).

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

2161728 is an equidigital number, since it uses as much as digits as its factorization.

2161728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 2161728 is about 1470.2816056797. The cubic root of 2161728 is about 129.3005431688.

It can be divided in two parts, 216 and 1728, that multiplied together give a cube (373248 = 723).

The spelling of 2161728 in words is "two million, one hundred sixty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 139 144 162 192 216 243 278 288 324 417 432 486 556 576 648 834 864 972 1112 1251 1296 1668 1728 1944 2224 2502 2592 3336 3753 3888 4448 5004 5184 6672 7506 7776 8896 10008 11259 13344 15012 15552 20016 22518 26688 30024 33777 40032 45036 60048 67554 80064 90072 120096 135108 180144 240192 270216 360288 540432 720576 1080864 2161728