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2156064 = 25337607
BaseRepresentation
bin1000001110011000100000
311001112120020
420032120200
51022443224
6114113440
724216621
oct10163040
94045506
102156064
111242979
1287b880
135a64a1
14401a48
152c8c79
hex20e620

2156064 has 48 divisors (see below), whose sum is σ = 5822208. Its totient is φ = 698112.

The previous prime is 2156053. The next prime is 2156071. The reversal of 2156064 is 4606512.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21560642 = 9297223944192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 3249 + ... + 3855.

It is an arithmetic number, because the mean of its divisors is an integer number (121296).

22156064 is an apocalyptic number.

2156064 is a gapful number since it is divisible by the number (24) 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 2156064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911104).

2156064 is an abundant number, since it is smaller than the sum of its proper divisors (3666144).

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

2156064 is a wasteful number, since it uses less digits than its factorization.

2156064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2156064 is about 1468.3541807071. The cubic root of 2156064 is about 129.1875164863.

The spelling of 2156064 in words is "two million, one hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 607 888 1184 1214 1776 1821 2428 3552 3642 4856 7284 9712 14568 19424 22459 29136 44918 58272 67377 89836 134754 179672 269508 359344 539016 718688 1078032 2156064