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2152064 = 27172343
BaseRepresentation
bin1000001101011010000000
311001100002002
420031122000
51022331224
6114043132
724202145
oct10153200
94040062
102152064
11123a972
128794a8
135a4715
144003cc
152c79ae
hex20d680

2152064 has 64 divisors (see below), whose sum is σ = 4847040. Its totient is φ = 946176.

The previous prime is 2152063. The next prime is 2152069. The reversal of 2152064 is 4602512.

It is a happy number.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2152063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50027 + ... + 50069.

It is an arithmetic number, because the mean of its divisors is an integer number (75735).

22152064 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 2152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2423520).

2152064 is an abundant number, since it is smaller than the sum of its proper divisors (2694976).

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

2152064 is a wasteful number, since it uses less digits than its factorization.

2152064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2152064 is about 1466.9914791845. The cubic root of 2152064 is about 129.1075760702.

Adding to 2152064 its reverse (4602512), we get a palindrome (6754576).

The spelling of 2152064 in words is "two million, one hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 17 23 32 34 43 46 64 68 86 92 128 136 172 184 272 344 368 391 544 688 731 736 782 989 1088 1376 1462 1472 1564 1978 2176 2752 2924 2944 3128 3956 5504 5848 6256 7912 11696 12512 15824 16813 23392 25024 31648 33626 46784 50048 63296 67252 93568 126592 134504 269008 538016 1076032 2152064