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2045064 = 233723747
BaseRepresentation
bin111110011010010001000
310211220022010
413303102020
51010420224
6111455520
723245200
oct7632210
93756263
102045064
11117753a
128275a0
13567ac8
143b3400
152a5e29
hex1f3488

2045064 has 96 divisors (see below), whose sum is σ = 6238080. Its totient is φ = 556416.

The previous prime is 2045053. The next prime is 2045077. The reversal of 2045064 is 4605402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2045064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43489 + ... + 43535.

It is an arithmetic number, because the mean of its divisors is an integer number (64980).

22045064 is an apocalyptic number.

2045064 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 2045064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119040).

2045064 is an abundant number, since it is smaller than the sum of its proper divisors (4193016).

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

2045064 is a wasteful number, since it uses less digits than its factorization.

2045064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2045064 is about 1430.0573415077. The cubic root of 2045064 is about 126.9313701157.

The spelling of 2045064 in words is "two million, forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 47 49 56 74 84 94 98 111 141 147 148 168 188 196 222 259 282 294 296 329 376 392 444 518 564 588 658 777 888 987 1036 1128 1176 1316 1554 1739 1813 1974 2072 2303 2632 3108 3478 3626 3948 4606 5217 5439 6216 6909 6956 7252 7896 9212 10434 10878 12173 13818 13912 14504 18424 20868 21756 24346 27636 36519 41736 43512 48692 55272 73038 85211 97384 146076 170422 255633 292152 340844 511266 681688 1022532 2045064