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5532132420 = 2232541973351
BaseRepresentation
bin1010010011011110…
…11010010001000100
3112021112200110000100
411021233122101010
542312211214140
62312540444100
7254043230643
oct51157322104
915245613010
105532132420
112389820a71
1210a4849630
136a2184449
143a6a1d35a
15225a1a530
hex149bda444

5532132420 has 72 divisors (see below), whose sum is σ = 16821080640. Its totient is φ = 1471694400.

The previous prime is 5532132409. The next prime is 5532132427. The reversal of 5532132420 is 242312355.

It is a happy number.

It is a super-2 number, since 2×55321324202 = 61208978224830112800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5532132427) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38745 + ... + 112095.

It is an arithmetic number, because the mean of its divisors is an integer number (233626120).

Almost surely, 25532132420 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 5532132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410540320).

5532132420 is an abundant number, since it is smaller than the sum of its proper divisors (11288948220).

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

5532132420 is a wasteful number, since it uses less digits than its factorization.

5532132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73785 (or 73780 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 5532132420 is about 74378.3061113925. The cubic root of 5532132420 is about 1768.6050293931.

Adding to 5532132420 its reverse (242312355), we get a palindrome (5774444775).

The spelling of 5532132420 in words is "five billion, five hundred thirty-two million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 419 838 1257 1676 2095 2514 3771 4190 5028 6285 7542 8380 12570 15084 18855 25140 37710 73351 75420 146702 220053 293404 366755 440106 660159 733510 880212 1100265 1320318 1467020 2200530 2640636 3300795 4401060 6601590 13203180 30734069 61468138 92202207 122936276 153670345 184404414 276606621 307340690 368808828 461011035 553213242 614681380 922022070 1106426484 1383033105 1844044140 2766066210 5532132420