Search a number
-
+
5069000 = 235337137
BaseRepresentation
bin10011010101100011001000
3100112112100202
4103111203020
52244202000
6300351332
761041266
oct23254310
910475322
105069000
112952462
121845548
131086311
1495d436
156a1dd5
hex4d58c8

5069000 has 64 divisors (see below), whose sum is σ = 12270960. Its totient is φ = 1958400.

The previous prime is 5068981. The next prime is 5069003. The reversal of 5069000 is 9605.

5069000 = T63 + T64 + ... + T312.

It can be written as a sum of positive squares in 8 ways, for example, as 964324 + 4104676 = 982^2 + 2026^2 .

It is a super-2 number, since 2×50690002 = 51389522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (5069003) 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, 36932 + ... + 37068.

Almost surely, 25069000 is an apocalyptic number.

5069000 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 5069000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135480).

5069000 is an abundant number, since it is smaller than the sum of its proper divisors (7201960).

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

5069000 is a wasteful number, since it uses less digits than its factorization.

5069000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 5069000 is about 2251.4439810930. The cubic root of 5069000 is about 171.7805927818.

The spelling of 5069000 in words is "five million, sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 137 148 185 200 250 274 296 370 500 548 685 740 925 1000 1096 1370 1480 1850 2740 3425 3700 4625 5069 5480 6850 7400 9250 10138 13700 17125 18500 20276 25345 27400 34250 37000 40552 50690 68500 101380 126725 137000 202760 253450 506900 633625 1013800 1267250 2534500 5069000