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8068440 = 233571947
BaseRepresentation
bin11110110001110101011000
3120011220211010
4132301311120
54031142230
6444533520
7125403102
oct36616530
916156733
108068440
114610a36
1228512a0
131896633
141100572
15a959b0
hex7b1d58

8068440 has 64 divisors (see below), whose sum is σ = 24572160. Its totient is φ = 2119040.

The previous prime is 8068433. The next prime is 8068441. The reversal of 8068440 is 448608.

8068440 is digitally balanced in base 5, 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 8068398 and 8068407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8068441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8047 + ... + 8993.

It is an arithmetic number, because the mean of its divisors is an integer number (383940).

Almost surely, 28068440 is an apocalyptic number.

It is a pronic number, being equal to 2840×2841.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8068440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12286080).

8068440 is an abundant number, since it is smaller than the sum of its proper divisors (16503720).

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

8068440 is a wasteful number, since it uses less digits than its factorization.

8068440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8068440 is about 2840.4999559937. The cubic root of 8068440 is about 200.5687146189.

The spelling of 8068440 in words is "eight million, sixty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 947 1065 1420 1704 1894 2130 2840 2841 3788 4260 4735 5682 7576 8520 9470 11364 14205 18940 22728 28410 37880 56820 67237 113640 134474 201711 268948 336185 403422 537896 672370 806844 1008555 1344740 1613688 2017110 2689480 4034220 8068440