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2531433420 = 2232518177699
BaseRepresentation
bin1001011011100010…
…1001101111001100
320112102100010211100
42112320221233030
520141021332140
61055105223100
7116505554235
oct22670515714
96472303740
102531433420
111089a2343a
125a7931a90
133145b69c9
141a02b408c
15ec389530
hex96e29bcc

2531433420 has 72 divisors (see below), whose sum is σ = 7721204400. Its totient is φ = 671310720.

The previous prime is 2531433367. The next prime is 2531433431. The reversal of 2531433420 is 243341352.

2531433420 is a `hidden beast` number, since 2 + 5 + 314 + 3 + 342 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6270 + ... + 71429.

It is an arithmetic number, because the mean of its divisors is an integer number (107238950).

Almost surely, 22531433420 is an apocalyptic number.

2531433420 is a gapful number since it is divisible by the number (20) 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 2531433420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3860602200).

2531433420 is an abundant number, since it is smaller than the sum of its proper divisors (5189770980).

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

2531433420 is a wasteful number, since it uses less digits than its factorization.

2531433420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77895 (or 77890 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 2531433420 is about 50313.3523033399. The cubic root of 2531433420 is about 1362.8733619781.

Adding to 2531433420 its reverse (243341352), we get a palindrome (2774774772).

The spelling of 2531433420 in words is "two billion, five hundred thirty-one million, four hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 77699 155398 233097 310796 388495 466194 699291 776990 932388 1165485 1398582 1553980 2330970 2797164 3496455 4661940 6992910 13985820 14063519 28127038 42190557 56254076 70317595 84381114 126571671 140635190 168762228 210952785 253143342 281270380 421905570 506286684 632858355 843811140 1265716710 2531433420