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5432987520 = 27345104803
BaseRepresentation
bin1010000111101010…
…01100111110000000
3112000122010100210000
411003311030332000
542111321100040
62255035440000
7251430426522
oct50365147600
915018110700
105432987520
112338863a34
1210775b6000
1368777cc1c
143977b1a12
1521be84130
hex143d4cf80

5432987520 has 160 divisors (see below), whose sum is σ = 19402364520. Its totient is φ = 1448782848.

The previous prime is 5432987507. The next prime is 5432987563. The reversal of 5432987520 is 257892345.

5432987520 is a `hidden beast` number, since 5 + 4 + 32 + 98 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 562 + ... + 104241.

Almost surely, 25432987520 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 5432987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9701182260).

5432987520 is an abundant number, since it is smaller than the sum of its proper divisors (13969377000).

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

5432987520 is a wasteful number, since it uses less digits than its factorization.

5432987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104834 (or 104813 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5432987520 is about 73708.8021880698. The cubic root of 5432987520 is about 1757.9758409708.

The spelling of 5432987520 in words is "five billion, four hundred thirty-two million, nine hundred eighty-seven thousand, five 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 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 104803 209606 314409 419212 524015 628818 838424 943227 1048030 1257636 1572045 1676848 1886454 2096060 2515272 2829681 3144090 3353696 3772908 4192120 4716135 5030544 5659362 6288180 6707392 7545816 8384240 8489043 9432270 10061088 11318724 12576360 13414784 14148405 15091632 16768480 16978086 18864540 20122176 22637448 25152720 28296810 30183264 33536960 33956172 37729080 40244352 42445215 45274896 50305440 56593620 60366528 67073920 67912344 75458160 84890430 90549792 100610880 113187240 120733056 135824688 150916320 169780860 181099584 201221760 226374480 271649376 301832640 339561720 362199168 452748960 543298752 603665280 679123440 905497920 1086597504 1358246880 1810995840 2716493760 5432987520