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5432534520 = 2335714534451
BaseRepresentation
bin1010000111100110…
…11110010111111000
3112000121021100101020
411003303132113320
542111212101040
62255022022440
7251423532030
oct50363362770
915017240336
105432534520
112338584656
121077417a20
1368765198a
143976d48c0
1521bde4cd0
hex143cde5f8

5432534520 has 128 divisors (see below), whose sum is σ = 18642839040. Its totient is φ = 1240588800.

The previous prime is 5432534491. The next prime is 5432534539. The reversal of 5432534520 is 254352345.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218295 + ... + 1222745.

It is an arithmetic number, because the mean of its divisors is an integer number (145647180).

Almost surely, 25432534520 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 5432534520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9321419520).

5432534520 is an abundant number, since it is smaller than the sum of its proper divisors (13210304520).

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

5432534520 is a wasteful number, since it uses less digits than its factorization.

5432534520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5925 (or 5921 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 33.

The square root of 5432534520 is about 73705.7292210043. The cubic root of 5432534520 is about 1757.9269798738.

Adding to 5432534520 its reverse (254352345), we get a palindrome (5686886865).

The spelling of 5432534520 in words is "five billion, four hundred thirty-two million, five hundred thirty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1453 2906 4359 4451 5812 7265 8718 8902 10171 11624 13353 14530 17436 17804 20342 21795 22255 26706 29060 30513 31157 34872 35608 40684 43590 44510 50855 53412 58120 61026 62314 66765 81368 87180 89020 93471 101710 106824 122052 124628 133530 152565 155785 174360 178040 186942 203420 244104 249256 267060 305130 311570 373884 406840 467355 534120 610260 623140 747768 934710 1220520 1246280 1869420 3738840 6467303 12934606 19401909 25869212 32336515 38803818 45271121 51738424 64673030 77607636 90542242 97009545 129346060 135813363 155215272 181084484 194019090 226355605 258692120 271626726 362168968 388038180 452711210 543253452 679066815 776076360 905422420 1086506904 1358133630 1810844840 2716267260 5432534520