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2906064 = 24337312
BaseRepresentation
bin1011000101011111010000
312110122101000
423011133100
51220443224
6142142000
733462330
oct13053720
95418330
102906064
111705407
12b81900
137a9985
145590c0
153c60c9
hex2c57d0

2906064 has 120 divisors (see below), whose sum is σ = 9850560. Its totient is φ = 803520.

The previous prime is 2906053. The next prime is 2906077. The reversal of 2906064 is 4606092.

2906064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 93729 + ... + 93759.

It is an arithmetic number, because the mean of its divisors is an integer number (82088).

22906064 is an apocalyptic number.

2906064 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 2906064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925280).

2906064 is an abundant number, since it is smaller than the sum of its proper divisors (6944496).

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

2906064 is a wasteful number, since it uses less digits than its factorization.

2906064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2906064 is about 1704.7181585236. The cubic root of 2906064 is about 142.7036423604.

The spelling of 2906064 in words is "two million, nine hundred six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 961 1008 1116 1302 1488 1512 1674 1736 1922 1953 2232 2604 2883 3024 3348 3472 3844 3906 4464 5208 5766 5859 6696 6727 7688 7812 8649 10416 11532 11718 13392 13454 15376 15624 17298 20181 23064 23436 25947 26908 31248 34596 40362 46128 46872 51894 53816 60543 69192 80724 93744 103788 107632 121086 138384 161448 181629 207576 242172 322896 363258 415152 484344 726516 968688 1453032 2906064