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2163072 = 27343131
BaseRepresentation
bin1000010000000110000000
311001220011210
420100012000
51023204242
6114210120
724246222
oct10200600
94056153
102163072
11124816a
12883940
135a9732
14404412
152cad9c
hex210180

2163072 has 64 divisors (see below), whose sum is σ = 5924160. Its totient is φ = 698880.

The previous prime is 2163071. The next prime is 2163079. The reversal of 2163072 is 2703612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2163071) 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, 16447 + ... + 16577.

It is an arithmetic number, because the mean of its divisors is an integer number (92565).

22163072 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 2163072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962080).

2163072 is an abundant number, since it is smaller than the sum of its proper divisors (3761088).

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

2163072 is a wasteful number, since it uses less digits than its factorization.

2163072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 2163072 is about 1470.7385899608. The cubic root of 2163072 is about 129.3273340706.

Adding to 2163072 its reverse (2703612), we get a palindrome (4866684).

The spelling of 2163072 in words is "two million, one hundred sixty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 131 172 192 258 262 344 384 393 516 524 688 786 1032 1048 1376 1572 2064 2096 2752 3144 4128 4192 5504 5633 6288 8256 8384 11266 12576 16512 16768 16899 22532 25152 33798 45064 50304 67596 90128 135192 180256 270384 360512 540768 721024 1081536 2163072