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2927064 = 2337219131
BaseRepresentation
bin1011001010100111011000
312111201011210
423022213120
51222131224
6142423120
733610500
oct13124730
95451153
102927064
11171a168
12b91aa0
137b63ba
14562a00
153cc429
hex2ca9d8

2927064 has 96 divisors (see below), whose sum is σ = 9028800. Its totient is φ = 786240.

The previous prime is 2927047. The next prime is 2927087. The reversal of 2927064 is 4607292.

2927064 = 2202 + 2212 + ... + 2682.

It is a happy number.

2927064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 211 + 9 + 221 + 77 + 0 + 63 + 46 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22279 + ... + 22409.

It is an arithmetic number, because the mean of its divisors is an integer number (94050).

22927064 is an apocalyptic number.

2927064 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 2927064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514400).

2927064 is an abundant number, since it is smaller than the sum of its proper divisors (6101736).

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

2927064 is a wasteful number, since it uses less digits than its factorization.

2927064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2927064 is about 1710.8664471548. The cubic root of 2927064 is about 143.0465559858.

The spelling of 2927064 in words is "two million, nine hundred twenty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 131 133 147 152 168 196 228 262 266 294 392 393 399 456 524 532 588 786 798 917 931 1048 1064 1176 1572 1596 1834 1862 2489 2751 2793 3144 3192 3668 3724 4978 5502 5586 6419 7336 7448 7467 9956 11004 11172 12838 14934 17423 19257 19912 22008 22344 25676 29868 34846 38514 51352 52269 59736 69692 77028 104538 121961 139384 154056 209076 243922 365883 418152 487844 731766 975688 1463532 2927064