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5424132120 = 23351110937699
BaseRepresentation
bin1010000110100110…
…11011000000011000
3112000000110110110020
411003103123000120
542102034211440
62254121550440
7251262235161
oct50323330030
915000413406
105424132120
112333865820
121074645420
1368599c344
14396548768
1521b2d53d0
hex1434db018

5424132120 has 128 divisors (see below), whose sum is σ = 17915040000. Its totient is φ = 1302842880.

The previous prime is 5424132107. The next prime is 5424132163. The reversal of 5424132120 is 212314245.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125031 + ... + 162729.

It is an arithmetic number, because the mean of its divisors is an integer number (139961250).

Almost surely, 25424132120 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 5424132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957520000).

5424132120 is an abundant number, since it is smaller than the sum of its proper divisors (12490907880).

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

5424132120 is a wasteful number, since it uses less digits than its factorization.

5424132120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37833 (or 37829 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5424132120 is about 73648.7075243008. The cubic root of 5424132120 is about 1757.0201945667.

Adding to 5424132120 its reverse (212314245), we get a palindrome (5636446365).

The spelling of 5424132120 in words is "five billion, four hundred twenty-four million, one hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 109 110 120 132 165 218 220 264 327 330 436 440 545 654 660 872 1090 1199 1308 1320 1635 2180 2398 2616 3270 3597 4360 4796 5995 6540 7194 9592 11990 13080 14388 17985 23980 28776 35970 37699 47960 71940 75398 113097 143880 150796 188495 226194 301592 376990 414689 452388 565485 753980 829378 904776 1130970 1244067 1507960 1658756 2073445 2261940 2488134 3317512 4109191 4146890 4523880 4976268 6220335 8218382 8293780 9952536 12327573 12440670 16436764 16587560 20545955 24655146 24881340 32873528 41091910 45201101 49310292 49762680 61637865 82183820 90402202 98620584 123275730 135603303 164367640 180804404 226005505 246551460 271206606 361608808 452011010 493102920 542413212 678016515 904022020 1084826424 1356033030 1808044040 2712066060 5424132120