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8706940 = 22511192083
BaseRepresentation
bin100001001101…
…101101111100
3121101100200021
4201031231330
54212110230
6510341524
7134002444
oct41155574
917340607
108706940
114a07720
122aba8a4
131a5b148
141229124
15b6ec7a
hex84db7c

8706940 has 48 divisors (see below), whose sum is σ = 21006720. Its totient is φ = 2998080.

The previous prime is 8706937. The next prime is 8706947. The reversal of 8706940 is 496078.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 8706896 and 8706905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8706947) 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, 3139 + ... + 5221.

It is an arithmetic number, because the mean of its divisors is an integer number (437640).

Almost surely, 28706940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8706940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10503360).

8706940 is an abundant number, since it is smaller than the sum of its proper divisors (12299780).

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

8706940 is a wasteful number, since it uses less digits than its factorization.

8706940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 8706940 is about 2950.7524464109. The cubic root of 8706940 is about 205.7256850863.

The spelling of 8706940 in words is "eight million, seven hundred six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2083 2090 4166 4180 8332 10415 20830 22913 39577 41660 45826 79154 91652 114565 158308 197885 229130 395770 435347 458260 791540 870694 1741388 2176735 4353470 8706940