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60055320 = 233513137281
BaseRepresentation
bin1110010100010…
…1111100011000
311012000010102010
43211011330120
5110333232240
65543105520
71326314253
oct345057430
9135003363
1060055320
11309994a6
12181422a0
13c5991c0
147d9409a
155414280
hex3945f18

60055320 has 128 divisors (see below), whose sum is σ = 196136640. Its totient is φ = 14622720.

The previous prime is 60055313. The next prime is 60055321. The reversal of 60055320 is 2355006.

60055320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

60055320 is a nontrivial binomial coefficient, being equal to C(10960, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60055321) by changing a digit.

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, 213580 + ... + 213860.

Almost surely, 260055320 is an apocalyptic number.

60055320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

60055320 is the 10959-th triangular number and also the 5480-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60055320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98068320).

60055320 is an abundant number, since it is smaller than the sum of its proper divisors (136081320).

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

60055320 is a wasteful number, since it uses less digits than its factorization.

60055320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 60055320 is about 7749.5367603490. The cubic root of 60055320 is about 391.6070440906.

It can be divided in two parts, 6005 and 5320, that added together give a triangular number (11325 = T150).

The spelling of 60055320 in words is "sixty million, fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 137 156 195 260 274 281 312 390 411 520 548 562 685 780 822 843 1096 1124 1370 1405 1560 1644 1686 1781 2055 2248 2740 2810 3288 3372 3562 3653 4110 4215 5343 5480 5620 6744 7124 7306 8220 8430 8905 10686 10959 11240 14248 14612 16440 16860 17810 18265 21372 21918 26715 29224 33720 35620 36530 38497 42744 43836 53430 54795 71240 73060 76994 87672 106860 109590 115491 146120 153988 192485 213720 219180 230982 307976 384970 438360 461964 500461 577455 769940 923928 1000922 1154910 1501383 1539880 2001844 2309820 2502305 3002766 4003688 4619640 5004610 6005532 7506915 10009220 12011064 15013830 20018440 30027660 60055320