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5632260660 = 223251317313913
BaseRepresentation
bin1010011111011010…
…10111101000110100
3112112112002111010200
411033231113220310
543013324320120
62330514520500
7256400266005
oct51755275064
915475074120
105632260660
11243029a884
121112296130
136b9b41420
143b60451ac
1522e6e7e90
hex14fb57a34

5632260660 has 144 divisors (see below), whose sum is σ = 18506399184. Its totient is φ = 1378289664.

The previous prime is 5632260629. The next prime is 5632260661. The reversal of 5632260660 is 660622365.

It can be written as a sum of positive squares in 8 ways, for example, as 12659364 + 5619601296 = 3558^2 + 74964^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632260661) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 397864 + ... + 411776.

It is an arithmetic number, because the mean of its divisors is an integer number (128516661).

Almost surely, 25632260660 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 5632260660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253199592).

5632260660 is an abundant number, since it is smaller than the sum of its proper divisors (12874138524).

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

5632260660 is a wasteful number, since it uses less digits than its factorization.

5632260660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14114 (or 14109 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5632260660 is about 75048.3887901666. The cubic root of 5632260660 is about 1779.2115200742.

The spelling of 5632260660 in words is "five billion, six hundred thirty-two million, two hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 173 180 195 234 260 346 390 468 519 585 692 780 865 1038 1170 1557 1730 2076 2249 2340 2595 3114 3460 4498 5190 6228 6747 7785 8996 10380 11245 13494 13913 15570 20241 22490 26988 27826 31140 33735 40482 41739 44980 55652 67470 69565 80964 83478 101205 125217 134940 139130 166956 180869 202410 208695 250434 278260 361738 404820 417390 500868 542607 626085 723476 834780 904345 1085214 1252170 1627821 1808690 2170428 2406949 2504340 2713035 3255642 3617380 4813898 5426070 6511284 7220847 8139105 9627796 10852140 12034745 14441694 16278210 21662541 24069490 28883388 31290337 32556420 36104235 43325082 48138980 62580674 72208470 86650164 93871011 108312705 125161348 144416940 156451685 187742022 216625410 281613033 312903370 375484044 433250820 469355055 563226066 625806740 938710110 1126452132 1408065165 1877420220 2816130330 5632260660