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8480820 = 22351071321
BaseRepresentation
bin100000010110…
…100000110100
3120221212111110
4200112200310
54132341240
6501435020
7132041265
oct40264064
916855443
108480820
114872847
122a0ba70
1319ac24a
1411aa96c
15b27c80
hex816834

8480820 has 48 divisors (see below), whose sum is σ = 23986368. Its totient is φ = 2238720.

The previous prime is 8480819. The next prime is 8480827. The reversal of 8480820 is 280848.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8480827) 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, 5760 + ... + 7080.

It is an arithmetic number, because the mean of its divisors is an integer number (499716).

Almost surely, 28480820 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 8480820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11993184).

8480820 is an abundant number, since it is smaller than the sum of its proper divisors (15505548).

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

8480820 is a wasteful number, since it uses less digits than its factorization.

8480820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8480820 is about 2912.1847468868. The cubic root of 8480820 is about 203.9291372483.

The spelling of 8480820 in words is "eight million, four hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1321 1605 2140 2642 3210 3963 5284 6420 6605 7926 13210 15852 19815 26420 39630 79260 141347 282694 424041 565388 706735 848082 1413470 1696164 2120205 2826940 4240410 8480820