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4069728 = 2532131087
BaseRepresentation
bin1111100001100101100000
321122202121200
433201211200
52020212403
6223121200
746410045
oct17414540
97582550
104069728
11232a713
121443200
13ac6530
1477d1cc
15555ca3
hex3e1960

4069728 has 72 divisors (see below), whose sum is σ = 12475008. Its totient is φ = 1251072.

The previous prime is 4069727. The next prime is 4069729. The reversal of 4069728 is 8279604.

It is an interprime number because it is at equal distance from previous prime (4069727) and next prime (4069729).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4069692 and 4069701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4069721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3201 + ... + 4287.

It is an arithmetic number, because the mean of its divisors is an integer number (173264).

Almost surely, 24069728 is an apocalyptic number.

4069728 is a gapful number since it is divisible by the number (48) 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 4069728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237504).

4069728 is an abundant number, since it is smaller than the sum of its proper divisors (8405280).

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

4069728 is a wasteful number, since it uses less digits than its factorization.

4069728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4069728 is about 2017.3566863597. The cubic root of 4069728 is about 159.6571826680.

The spelling of 4069728 in words is "four million, sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1087 1248 1872 2174 3261 3744 4348 6522 8696 9783 13044 14131 17392 19566 26088 28262 34784 39132 42393 52176 56524 78264 84786 104352 113048 127179 156528 169572 226096 254358 313056 339144 452192 508716 678288 1017432 1356576 2034864 4069728