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5270016 = 2934773
BaseRepresentation
bin10100000110101000000000
3100220202002210
4110012220000
52322120031
6304542120
762536323
oct24065000
910822083
105270016
112a7a494
121921940
13112696b
149b27ba
156e1746
hex506a00

5270016 has 80 divisors (see below), whose sum is σ = 14534784. Its totient is φ = 1695744.

The previous prime is 5270009. The next prime is 5270029. The reversal of 5270016 is 6100725.

It is a junction number, because it is equal to n+sod(n) for n = 5269974 and 5270001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72156 + ... + 72228.

Almost surely, 25270016 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 5270016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7267392).

5270016 is an abundant number, since it is smaller than the sum of its proper divisors (9264768).

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

5270016 is an equidigital number, since it uses as much as digits as its factorization.

5270016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 5270016 is about 2295.6515415019. The cubic root of 5270016 is about 174.0219287992.

The spelling of 5270016 in words is "five million, two hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 73 94 96 128 141 146 188 192 219 256 282 292 376 384 438 512 564 584 752 768 876 1128 1168 1504 1536 1752 2256 2336 3008 3431 3504 4512 4672 6016 6862 7008 9024 9344 10293 12032 13724 14016 18048 18688 20586 24064 27448 28032 36096 37376 41172 54896 56064 72192 82344 109792 112128 164688 219584 329376 439168 658752 878336 1317504 1756672 2635008 5270016