Search a number
-
+
66870360 = 2334520639
BaseRepresentation
bin1111111100010…
…1110001011000
311122211100220000
43333011301120
5114104322420
610345133000
71441250214
oct377056130
9148740800
1066870360
1134823767
121a48a160
1310b1417b
148c49944
155d0d690
hex3fc5c58

66870360 has 80 divisors (see below), whose sum is σ = 224769600. Its totient is φ = 17831232.

The previous prime is 66870343. The next prime is 66870371. The reversal of 66870360 is 6307866.

It is a happy number.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7080 + ... + 13559.

It is an arithmetic number, because the mean of its divisors is an integer number (2809620).

Almost surely, 266870360 is an apocalyptic number.

66870360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66870360 is an abundant number, since it is smaller than the sum of its proper divisors (157899240).

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

66870360 is a wasteful number, since it uses less digits than its factorization.

66870360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20662 (or 20649 counting only the distinct ones).

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

The square root of 66870360 is about 8177.4299140989. The cubic root of 66870360 is about 405.8926811561.

The spelling of 66870360 in words is "sixty-six million, eight hundred seventy thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 20639 41278 61917 82556 103195 123834 165112 185751 206390 247668 309585 371502 412780 495336 557253 619170 743004 825560 928755 1114506 1238340 1486008 1671759 1857510 2229012 2476680 2786265 3343518 3715020 4458024 5572530 6687036 7430040 8358795 11145060 13374072 16717590 22290120 33435180 66870360