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66030120 = 23335134703
BaseRepresentation
bin1111101111100…
…0101000101000
311121020200022000
43323320220220
5113400430440
610315131000
71431150432
oct373705050
9147220260
1066030120
11342aa452
121a143a60
13108ab8a0
148aab652
155be4730
hex3ef8a28

66030120 has 128 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 16250112.

The previous prime is 66030119. The next prime is 66030229. The reversal of 66030120 is 2103066.

It is a happy number.

66030120 is a `hidden beast` number, since 660 + 3 + 0 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 66030093 and 66030102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11689 + ... + 16391.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 266030120 is an apocalyptic number.

66030120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

66030120 is an abundant number, since it is smaller than the sum of its proper divisors (171051480).

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

66030120 is a wasteful number, since it uses less digits than its factorization.

66030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 66030120 is about 8125.8919510414. The cubic root of 66030120 is about 404.1854685459.

Adding to 66030120 its reverse (2103066), we get a palindrome (68133186).

The spelling of 66030120 in words is "sixty-six million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 4703 7020 9406 14040 14109 18812 23515 28218 37624 42327 47030 56436 61139 70545 84654 94060 112872 122278 126981 141090 169308 183417 188120 211635 244556 253962 282180 305695 338616 366834 423270 489112 507924 550251 564360 611390 634905 733668 846540 917085 1015848 1100502 1222780 1269810 1467336 1650753 1693080 1834170 2201004 2445560 2539620 2751255 3301506 3668340 4402008 5079240 5502510 6603012 7336680 8253765 11005020 13206024 16507530 22010040 33015060 66030120