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66013080 = 2335789883
BaseRepresentation
bin1111101111010…
…0011110011000
311121012210220220
43323310132120
5113344404310
610314520040
71431046650
oct373643630
9147183826
1066013080
1134298671
121a136020
13108a3bc3
148aa5360
155bde670
hex3ef4798

66013080 has 128 divisors (see below), whose sum is σ = 229132800. Its totient is φ = 14902272.

The previous prime is 66013067. The next prime is 66013093. The reversal of 66013080 is 8031066.

It is an interprime number because it is at equal distance from previous prime (66013067) and next prime (66013093).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66013080.

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, 74319 + ... + 75201.

It is an arithmetic number, because the mean of its divisors is an integer number (1790100).

Almost surely, 266013080 is an apocalyptic number.

66013080 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 66013080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

66013080 is an abundant number, since it is smaller than the sum of its proper divisors (163119720).

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

66013080 is a wasteful number, since it uses less digits than its factorization.

66013080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 66013080 is about 8124.8433831059. The cubic root of 66013080 is about 404.1506969753.

The spelling of 66013080 in words is "sixty-six million, thirteen thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 89 105 120 140 168 178 210 267 280 356 420 445 534 623 712 840 883 890 1068 1246 1335 1766 1780 1869 2136 2492 2649 2670 3115 3532 3560 3738 4415 4984 5298 5340 6181 6230 7064 7476 8830 9345 10596 10680 12362 12460 13245 14952 17660 18543 18690 21192 24724 24920 26490 30905 35320 37086 37380 49448 52980 61810 74172 74760 78587 92715 105960 123620 148344 157174 185430 235761 247240 314348 370860 392935 471522 550109 628696 741720 785870 943044 1100218 1178805 1571740 1650327 1886088 2200436 2357610 2750545 3143480 3300654 4400872 4715220 5501090 6601308 8251635 9430440 11002180 13202616 16503270 22004360 33006540 66013080