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5235204120 = 23352911313313
BaseRepresentation
bin1001110000000101…
…01110000000011000
3111111211221220221220
410320002232000120
541210203012440
62223252332040
7243506333526
oct47002560030
914454856856
105235204120
112247155383
121021314020
136557c0823
14379409316
152099168d0
hex1380ae018

5235204120 has 128 divisors (see below), whose sum is σ = 16392196800. Its totient is φ = 1335885824.

The previous prime is 5235204059. The next prime is 5235204127. The reversal of 5235204120 is 214025325.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235204127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386584 + ... + 399896.

Almost surely, 25235204120 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 5235204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8196098400).

5235204120 is an abundant number, since it is smaller than the sum of its proper divisors (11156992680).

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

5235204120 is a wasteful number, since it uses less digits than its factorization.

5235204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13469 (or 13465 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5235204120 is about 72354.7104202622. The cubic root of 5235204120 is about 1736.3790600894.

Adding to 5235204120 its reverse (214025325), we get a palindrome (5449229445).

The spelling of 5235204120 in words is "five billion, two hundred thirty-five million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 113 116 120 145 174 226 232 290 339 348 435 452 565 580 678 696 870 904 1130 1160 1356 1695 1740 2260 2712 3277 3390 3480 4520 6554 6780 9831 13108 13313 13560 16385 19662 26216 26626 32770 39324 39939 49155 53252 65540 66565 78648 79878 98310 106504 131080 133130 159756 196620 199695 266260 319512 386077 393240 399390 532520 772154 798780 1158231 1504369 1544308 1597560 1930385 2316462 3008738 3088616 3860770 4513107 4632924 5791155 6017476 7521845 7721540 9026214 9265848 11582310 12034952 15043690 15443080 18052428 22565535 23164620 30087380 36104856 43626701 45131070 46329240 60174760 87253402 90262140 130880103 174506804 180524280 218133505 261760206 349013608 436267010 523520412 654400515 872534020 1047040824 1308801030 1745068040 2617602060 5235204120