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5170900 = 225278389
BaseRepresentation
bin10011101110011011010100
3100201201010211
4103232123110
52310432100
6302455204
761644340
oct23563324
910651124
105170900
112a11a79
121894504
1310c0807
14988620
156c21ba
hex4ee6d4

5170900 has 72 divisors (see below), whose sum is σ = 13124160. Its totient is φ = 1731840.

The previous prime is 5170889. The next prime is 5170927. The reversal of 5170900 is 90715.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 58056 + ... + 58144.

It is an arithmetic number, because the mean of its divisors is an integer number (182280).

Almost surely, 25170900 is an apocalyptic number.

5170900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5170900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6562080).

5170900 is an abundant number, since it is smaller than the sum of its proper divisors (7953260).

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

5170900 is a wasteful number, since it uses less digits than its factorization.

5170900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 5170900 is about 2273.9613013418. The cubic root of 5170900 is about 172.9240425234.

The spelling of 5170900 in words is "five million, one hundred seventy thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 83 89 100 140 166 175 178 332 350 356 415 445 581 623 700 830 890 1162 1246 1660 1780 2075 2225 2324 2492 2905 3115 4150 4450 5810 6230 7387 8300 8900 11620 12460 14525 14774 15575 29050 29548 31150 36935 51709 58100 62300 73870 103418 147740 184675 206836 258545 369350 517090 738700 1034180 1292725 2585450 5170900