Search a number
-
+
66653720 = 23572311097
BaseRepresentation
bin1111111001000…
…0111000011000
311122102100201022
43332100320120
5114030404340
610340342012
71436355500
oct376207030
9148370638
1066653720
1134695a21
121a3a4908
1310a69693
148bd0a00
155cb93b5
hex3f90e18

66653720 has 96 divisors (see below), whose sum is σ = 180247680. Its totient is φ = 22095360.

The previous prime is 66653711. The next prime is 66653749. The reversal of 66653720 is 2735666.

66653720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60212 + ... + 61308.

It is an arithmetic number, because the mean of its divisors is an integer number (1877580).

Almost surely, 266653720 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 66653720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90123840).

66653720 is an abundant number, since it is smaller than the sum of its proper divisors (113593960).

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

66653720 is a wasteful number, since it uses less digits than its factorization.

66653720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 66653720 is about 8164.1729526021. The cubic root of 66653720 is about 405.4538832583.

The spelling of 66653720 in words is "sixty-six million, six hundred fifty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1097 1240 1519 1736 1960 2170 2194 3038 4340 4388 5485 6076 7595 7679 8680 8776 10970 12152 15190 15358 21940 30380 30716 34007 38395 43880 53753 60760 61432 68014 76790 107506 136028 153580 170035 215012 238049 268765 272056 307160 340070 430024 476098 537530 680140 952196 1075060 1190245 1360280 1666343 1904392 2150120 2380490 3332686 4760980 6665372 8331715 9521960 13330744 16663430 33326860 66653720