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506341320 = 233523383479
BaseRepresentation
bin11110001011100…
…010011111001000
31022021202210201020
4132023202133020
52014110410240
6122124352440
715355554522
oct3613423710
91267683636
10506341320
1123a8a8801
121216a5720
1380b95564
144b366a12
152e6bc0d0
hex1e2e27c8

506341320 has 128 divisors (see below), whose sum is σ = 1592524800. Its totient is φ = 128547584.

The previous prime is 506341313. The next prime is 506341333. The reversal of 506341320 is 23143605.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056841 + ... + 1057319.

It is an arithmetic number, because the mean of its divisors is an integer number (12441600).

Almost surely, 2506341320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506341320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796262400).

506341320 is an abundant number, since it is smaller than the sum of its proper divisors (1086183480).

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

506341320 is a wasteful number, since it uses less digits than its factorization.

506341320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 506341320 is about 22502.0292418262. The cubic root of 506341320 is about 797.0418459715.

Adding to 506341320 its reverse (23143605), we get a palindrome (529484925).

The spelling of 506341320 in words is "five hundred six million, three hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 383 460 479 552 690 766 920 958 1149 1380 1437 1532 1915 1916 2298 2395 2760 2874 3064 3830 3832 4596 4790 5745 5748 7185 7660 8809 9192 9580 11017 11490 11496 14370 15320 17618 19160 22034 22980 26427 28740 33051 35236 44045 44068 45960 52854 55085 57480 66102 70472 88090 88136 105708 110170 132135 132204 165255 176180 183457 211416 220340 264270 264408 330510 352360 366914 440680 528540 550371 661020 733828 917285 1057080 1100742 1322040 1467656 1834570 2201484 2751855 3669140 4219511 4402968 5503710 7338280 8439022 11007420 12658533 16878044 21097555 22014840 25317066 33756088 42195110 50634132 63292665 84390220 101268264 126585330 168780440 253170660 506341320