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66885480 = 23335173643
BaseRepresentation
bin1111111100100…
…1011101101000
311122212010122000
43333021131220
5114110313410
610345331000
71441342254
oct377113550
9148763560
1066885480
1134834062
121a496a60
1310b1b00c
148c51264
155d12dc0
hex3fc9768

66885480 has 128 divisors (see below), whose sum is σ = 236131200. Its totient is φ = 16782336.

The previous prime is 66885457. The next prime is 66885487. The reversal of 66885480 is 8458866.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (66885487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16539 + ... + 20181.

It is an arithmetic number, because the mean of its divisors is an integer number (1844775).

Almost surely, 266885480 is an apocalyptic number.

66885480 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 66885480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118065600).

66885480 is an abundant number, since it is smaller than the sum of its proper divisors (169245720).

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

66885480 is a wasteful number, since it uses less digits than its factorization.

66885480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3680 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 66885480 is about 8178.3543576932. The cubic root of 66885480 is about 405.9232708665.

The spelling of 66885480 in words is "sixty-six million, eight hundred eighty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3643 3672 4590 6120 7286 9180 10929 14572 18215 18360 21858 29144 32787 36430 43716 54645 61931 65574 72860 87432 98361 109290 123862 131148 145720 163935 185793 196722 218580 247724 262296 309655 327870 371586 393444 437160 491805 495448 557379 619310 655740 743172 786888 928965 983610 1114758 1238620 1311480 1486344 1672137 1857930 1967220 2229516 2477240 2786895 3344274 3715860 3934440 4459032 5573790 6688548 7431720 8360685 11147580 13377096 16721370 22295160 33442740 66885480