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6052320 = 25345467
BaseRepresentation
bin10111000101100111100000
3102101111020000
4113011213200
53022133240
6333420000
7102305151
oct27054740
912344200
106052320
11346421a
12203a600
13133ba71
14b37928
157e8430
hex5c59e0

6052320 has 120 divisors (see below), whose sum is σ = 21405384. Its totient is φ = 1610496.

The previous prime is 6052313. The next prime is 6052327. The reversal of 6052320 is 232506.

It is an interprime number because it is at equal distance from previous prime (6052313) and next prime (6052327).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 6052293 and 6052302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6052327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12727 + ... + 13193.

Almost surely, 26052320 is an apocalyptic number.

6052320 is a gapful number since it is divisible by the number (60) 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 6052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10702692).

6052320 is an abundant number, since it is smaller than the sum of its proper divisors (15353064).

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

6052320 is a wasteful number, since it uses less digits than its factorization.

6052320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 6052320 is about 2460.1463371109. The cubic root of 6052320 is about 182.2387078306.

Adding to 6052320 its reverse (232506), we get a palindrome (6284826).

The spelling of 6052320 in words is "six million, fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 467 480 540 648 720 810 864 934 1080 1296 1401 1440 1620 1868 2160 2335 2592 2802 3240 3736 4203 4320 4670 5604 6480 7005 7472 8406 9340 11208 12609 12960 14010 14944 16812 18680 21015 22416 25218 28020 33624 37360 37827 42030 44832 50436 56040 63045 67248 74720 75654 84060 100872 112080 126090 134496 151308 168120 189135 201744 224160 252180 302616 336240 378270 403488 504360 605232 672480 756540 1008720 1210464 1513080 2017440 3026160 6052320