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66706380 = 223251329983
BaseRepresentation
bin1111111001110…
…1101111001100
311122112000221200
43332131233030
5114034101010
610341425500
71436665146
oct376355714
9148460850
1066706380
1134721544
121a40b290
1310a87640
148c05c96
155cc9cc0
hex3f9dbcc

66706380 has 144 divisors (see below), whose sum is σ = 225650880. Its totient is φ = 15837696.

The previous prime is 66706363. The next prime is 66706391. The reversal of 66706380 is 8360766.

It is a happy number.

It is a super-2 number, since 2×667063802 = 8899482265408800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67369 + ... + 68351.

It is an arithmetic number, because the mean of its divisors is an integer number (1567020).

Almost surely, 266706380 is an apocalyptic number.

66706380 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 66706380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112825440).

66706380 is an abundant number, since it is smaller than the sum of its proper divisors (158944500).

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

66706380 is a wasteful number, since it uses less digits than its factorization.

66706380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66706380 is about 8167.3973822755. The cubic root of 66706380 is about 405.5606318944.

The spelling of 66706380 in words is "sixty-six million, seven hundred six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 983 1044 1131 1170 1305 1508 1740 1885 1966 2262 2340 2610 2949 3393 3770 3932 4524 4915 5220 5655 5898 6786 7540 8847 9830 11310 11796 12779 13572 14745 16965 17694 19660 22620 25558 28507 29490 33930 35388 38337 44235 51116 57014 58980 63895 67860 76674 85521 88470 114028 115011 127790 142535 153348 171042 176940 191685 230022 255580 256563 285070 342084 370591 383370 427605 460044 513126 570140 575055 741182 766740 855210 1026252 1111773 1150110 1282815 1482364 1710420 1852955 2223546 2300220 2565630 3335319 3705910 4447092 5131260 5558865 6670638 7411820 11117730 13341276 16676595 22235460 33353190 66706380