[go: up one dir, main page]

Search a number
-
+
5273600 = 21152103
BaseRepresentation
bin10100000111100000000000
3100220221000112
4110013200000
52322223400
6305010452
762552633
oct24074000
910827015
105273600
112a82152
121923a28
131128497
149b3c1a
156e2835
hex507800

5273600 has 72 divisors (see below), whose sum is σ = 13202280. Its totient is φ = 2088960.

The previous prime is 5273581. The next prime is 5273603. The reversal of 5273600 is 63725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5273603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51149 + ... + 51251.

It is an arithmetic number, because the mean of its divisors is an integer number (183365).

Almost surely, 25273600 is an apocalyptic number.

5273600 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 5273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601140).

5273600 is an abundant number, since it is smaller than the sum of its proper divisors (7928680).

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

5273600 is a wasteful number, since it uses less digits than its factorization.

5273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 5273600 is about 2296.4320151052. The cubic root of 5273600 is about 174.0613691134.

The spelling of 5273600 in words is "five million, two hundred seventy-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 103 128 160 200 206 256 320 400 412 512 515 640 800 824 1024 1030 1280 1600 1648 2048 2060 2560 2575 3200 3296 4120 5120 5150 6400 6592 8240 10240 10300 12800 13184 16480 20600 25600 26368 32960 41200 51200 52736 65920 82400 105472 131840 164800 210944 263680 329600 527360 659200 1054720 1318400 2636800 5273600