Search a number
-
+
66656920 = 23511197769
BaseRepresentation
bin1111111001000…
…1101010011000
311122102112002211
43332101222120
5114031010140
610340404504
71436401021
oct376215230
9148375084
1066656920
1134698370
121a3a6734
1310a6ac85
148bd1c48
155cba2ea
hex3f91a98

66656920 has 64 divisors (see below), whose sum is σ = 164656800. Its totient is φ = 24084480.

The previous prime is 66656911. The next prime is 66656927. The reversal of 66656920 is 2965666.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66656927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86296 + ... + 87064.

Almost surely, 266656920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66656920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328400).

66656920 is an abundant number, since it is smaller than the sum of its proper divisors (97999880).

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

66656920 is a wasteful number, since it uses less digits than its factorization.

66656920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 40.

The square root of 66656920 is about 8164.3689284598. The cubic root of 66656920 is about 405.4603716767.

It can be divided in two parts, 66656 and 920, that added together give a palindrome (67576).

The spelling of 66656920 in words is "sixty-six million, six hundred fifty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 197 220 394 440 769 788 985 1538 1576 1970 2167 3076 3845 3940 4334 6152 7690 7880 8459 8668 10835 15380 16918 17336 21670 30760 33836 42295 43340 67672 84590 86680 151493 169180 302986 338360 605972 757465 1211944 1514930 1666423 3029860 3332846 6059720 6665692 8332115 13331384 16664230 33328460 66656920