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66141020 = 225112151181
BaseRepresentation
bin1111110001001…
…1101101011100
311121110022102102
43330103231130
5113413003040
610321344232
71432121651
oct374235534
9147408372
1066141020
1134375800
121a198078
131091a1ca
148ad9c28
155c17515
hex3f13b5c

66141020 has 72 divisors (see below), whose sum is σ = 154531104. Its totient is φ = 23760000.

The previous prime is 66141017. The next prime is 66141029. The reversal of 66141020 is 2014166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 66140983 and 66141001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66141029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365330 + ... + 365510.

Almost surely, 266141020 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 66141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77265552).

66141020 is an abundant number, since it is smaller than the sum of its proper divisors (88390084).

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

66141020 is a wasteful number, since it uses less digits than its factorization.

66141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 66141020 is about 8132.7129544820. The cubic root of 66141020 is about 404.4116234039.

Adding to 66141020 its reverse (2014166), we get a palindrome (68155186).

The spelling of 66141020 in words is "sixty-six million, one hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 151 181 220 242 302 362 484 604 605 724 755 905 1210 1510 1661 1810 1991 2420 3020 3322 3620 3982 6644 7964 8305 9955 16610 18271 19910 21901 27331 33220 36542 39820 43802 54662 73084 87604 91355 109324 109505 136655 182710 219010 273310 300641 365420 438020 546620 601282 1202564 1503205 3006410 3307051 6012820 6614102 13228204 16535255 33070510 66141020