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8098740 = 22325133461
BaseRepresentation
bin11110111001001110110100
3120020110101100
4132321032310
54033124430
6445330100
7125560326
oct36711664
916213340
108098740
114631781
122866930
1318a7370
14110b616
15a9e960
hex7b93b4

8098740 has 72 divisors (see below), whose sum is σ = 26463528. Its totient is φ = 1992960.

The previous prime is 8098729. The next prime is 8098747. The reversal of 8098740 is 478908.

It can be written as a sum of positive squares in 4 ways, for example, as 10404 + 8088336 = 102^2 + 2844^2 .

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 = 8098695 and 8098704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8098747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 610 + ... + 4070.

It is an arithmetic number, because the mean of its divisors is an integer number (367549).

Almost surely, 28098740 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 8098740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231764).

8098740 is an abundant number, since it is smaller than the sum of its proper divisors (18364788).

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

8098740 is a wasteful number, since it uses less digits than its factorization.

8098740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8098740 is about 2845.8285261062. The cubic root of 8098740 is about 200.8194710832.

The spelling of 8098740 in words is "eight million, ninety-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 3461 6922 10383 13844 17305 20766 31149 34610 41532 44993 51915 62298 69220 89986 103830 124596 134979 155745 179972 207660 224965 269958 311490 404937 449930 539916 622980 674895 809874 899860 1349790 1619748 2024685 2699580 4049370 8098740