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66198020 = 22572312179
BaseRepresentation
bin1111110010000…
…1101000000100
311121120012121112
43330201220010
5113421314040
610322504152
71432450100
oct374415004
9147505545
1066198020
1134404609
121a205058
131093a135
148b12900
155c29365
hex3f21a04

66198020 has 72 divisors (see below), whose sum is σ = 167005440. Its totient is φ = 21954240.

The previous prime is 66198019. The next prime is 66198031. The reversal of 66198020 is 2089166.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29291 + ... + 31469.

It is an arithmetic number, because the mean of its divisors is an integer number (2319520).

Almost surely, 266198020 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 66198020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83502720).

66198020 is an abundant number, since it is smaller than the sum of its proper divisors (100807420).

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

66198020 is a wasteful number, since it uses less digits than its factorization.

66198020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 66198020 is about 8136.2165654560. The cubic root of 66198020 is about 404.5277633516.

The spelling of 66198020 in words is "sixty-six million, one hundred ninety-eight thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 49 62 70 98 124 140 155 196 217 245 310 434 490 620 868 980 1085 1519 2170 2179 3038 4340 4358 6076 7595 8716 10895 15190 15253 21790 30380 30506 43580 61012 67549 76265 106771 135098 152530 213542 270196 305060 337745 427084 472843 533855 675490 945686 1067710 1350980 1891372 2135420 2364215 3309901 4728430 6619802 9456860 13239604 16549505 33099010 66198020