Search a number
-
+
5335000 = 23541197
BaseRepresentation
bin10100010110011111011000
3101001001020121
4110112133120
52331210000
6310203024
763226636
oct24263730
911031217
105335000
1130142a0
121953474
13114a408
149cc356
15705b1a
hex5167d8

5335000 has 80 divisors (see below), whose sum is σ = 13776840. Its totient is φ = 1920000.

The previous prime is 5334997. The next prime is 5335003. The reversal of 5335000 is 5335.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5334997) and next prime (5335003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54952 + ... + 55048.

Almost surely, 25335000 is an apocalyptic number.

5335000 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 5335000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888420).

5335000 is an abundant number, since it is smaller than the sum of its proper divisors (8441840).

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

5335000 is a wasteful number, since it uses less digits than its factorization.

5335000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 16.

The square root of 5335000 is about 2309.7618924902. The cubic root of 5335000 is about 174.7342906448.

5335000 divided by its reverse (5335) gives a cube (1000 = 103).

It can be divided in two parts, 53 and 35000, that added together give a palindrome (35053).

The spelling of 5335000 in words is "five million, three hundred thirty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 97 100 110 125 194 200 220 250 275 388 440 485 500 550 625 776 970 1000 1067 1100 1250 1375 1940 2134 2200 2425 2500 2750 3880 4268 4850 5000 5335 5500 6875 8536 9700 10670 11000 12125 13750 19400 21340 24250 26675 27500 42680 48500 53350 55000 60625 97000 106700 121250 133375 213400 242500 266750 485000 533500 666875 1067000 1333750 2667500 5335000