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8109640 = 2357112633
BaseRepresentation
bin11110111011111001001000
3120021000100001
4132323321020
54034002030
6445452344
7125634160
oct36737110
916230301
108109640
114639990
1228710b4
1318ac306
1411115a0
15aa2cca
hex7bbe48

8109640 has 64 divisors (see below), whose sum is σ = 22757760. Its totient is φ = 2526720.

The previous prime is 8109617. The next prime is 8109649. The reversal of 8109640 is 469018.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 8109599 and 8109608.

It is not an unprimeable number, because it can be changed into a prime (8109649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1764 + ... + 4396.

It is an arithmetic number, because the mean of its divisors is an integer number (355590).

Almost surely, 28109640 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 8109640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11378880).

8109640 is an abundant number, since it is smaller than the sum of its proper divisors (14648120).

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

8109640 is a wasteful number, since it uses less digits than its factorization.

8109640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2662 (or 2658 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 8109640 is about 2847.7429659293. The cubic root of 8109640 is about 200.9095242252.

The spelling of 8109640 in words is "eight million, one hundred nine thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 2633 3080 5266 10532 13165 18431 21064 26330 28963 36862 52660 57926 73724 92155 105320 115852 144815 147448 184310 202741 231704 289630 368620 405482 579260 737240 810964 1013705 1158520 1621928 2027410 4054820 8109640