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2067408 = 243272293
BaseRepresentation
bin111111000101111010000
310220000221200
413320233100
51012124113
6112151200
723400300
oct7705720
93800850
102067408
111192302
12838500
13575025
143bb600
152ac873
hex1f8bd0

2067408 has 90 divisors (see below), whose sum is σ = 6753474. Its totient is φ = 588672.

The previous prime is 2067407. The next prime is 2067413. The reversal of 2067408 is 8047602.

It can be written as a sum of positive squares in only one way, i.e., 2039184 + 28224 = 1428^2 + 168^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2067407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6910 + ... + 7202.

22067408 is an apocalyptic number.

2067408 is a gapful number since it is divisible by the number (28) 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 2067408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376737).

2067408 is an abundant number, since it is smaller than the sum of its proper divisors (4686066).

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

2067408 is a wasteful number, since it uses less digits than its factorization.

2067408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2067408 is about 1437.8483925644. The cubic root of 2067408 is about 127.3919730884.

The spelling of 2067408 in words is "two million, sixty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 293 294 336 392 441 504 586 588 784 879 882 1008 1172 1176 1758 1764 2051 2344 2352 2637 3516 3528 4102 4688 5274 6153 7032 7056 8204 10548 12306 14064 14357 16408 18459 21096 24612 28714 32816 36918 42192 43071 49224 57428 73836 86142 98448 114856 129213 147672 172284 229712 258426 295344 344568 516852 689136 1033704 2067408