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5283360120 = 2335435319319
BaseRepresentation
bin1001110101110100…
…11010110101111000
3111122012120111120110
410322322122311320
541310020010440
62232132424320
7244632551163
oct47272326570
914565514513
105283360120
112271356725
1210354780a0
136627817bc
14381982ada
1520dc7a080
hex13ae9ad78

5283360120 has 128 divisors (see below), whose sum is σ = 16525555200. Its totient is φ = 1350096384.

The previous prime is 5283360119. The next prime is 5283360149. The reversal of 5283360120 is 210633825.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 263821 + ... + 283139.

It is an arithmetic number, because the mean of its divisors is an integer number (129105900).

Almost surely, 25283360120 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 5283360120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8262777600).

5283360120 is an abundant number, since it is smaller than the sum of its proper divisors (11242195080).

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

5283360120 is a wasteful number, since it uses less digits than its factorization.

5283360120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19429 (or 19425 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 5283360120 is about 72686.7258858177. The cubic root of 5283360120 is about 1741.6868434842.

Adding to 5283360120 its reverse (210633825), we get a palindrome (5493993945).

The spelling of 5283360120 in words is "five billion, two hundred eighty-three million, three hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 53 60 86 106 120 129 159 172 212 215 258 265 318 344 424 430 516 530 636 645 795 860 1032 1060 1272 1290 1590 1720 2120 2279 2580 3180 4558 5160 6360 6837 9116 11395 13674 18232 19319 22790 27348 34185 38638 45580 54696 57957 68370 77276 91160 96595 115914 136740 154552 193190 231828 273480 289785 386380 463656 579570 772760 830717 1023907 1159140 1661434 2047814 2318280 2492151 3071721 3322868 4095628 4153585 4984302 5119535 6143442 6645736 8191256 8307170 9968604 10239070 12286884 12460755 15358605 16614340 19937208 20478140 24573768 24921510 30717210 33228680 40956280 44028001 49843020 61434420 88056002 99686040 122868840 132084003 176112004 220140005 264168006 352224008 440280010 528336012 660420015 880560020 1056672024 1320840030 1761120040 2641680060 5283360120