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20166672 = 243597121
BaseRepresentation
bin100110011101…
…1100000010000
31101221120110210
41030323200100
520130313142
62000124120
7333261651
oct114734020
941846423
1020166672
1110424579
126906640
134241256
14296d528
151b8549c
hex133b810

20166672 has 40 divisors (see below), whose sum is σ = 52987680. Its totient is φ = 6607360.

The previous prime is 20166667. The next prime is 20166683. The reversal of 20166672 is 27666102.

It is a super-4 number, since 4×201666724 (a number of 30 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 729 + ... + 6392.

It is an arithmetic number, because the mean of its divisors is an integer number (1324692).

Almost surely, 220166672 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 20166672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26493840).

20166672 is an abundant number, since it is smaller than the sum of its proper divisors (32821008).

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

20166672 is a wasteful number, since it uses less digits than its factorization.

20166672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7191 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 20166672 is about 4490.7317889181. The cubic root of 20166672 is about 272.1937057330.

The spelling of 20166672 in words is "twenty million, one hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 7121 14242 21363 28484 42726 56968 85452 113936 170904 341808 420139 840278 1260417 1680556 2520834 3361112 5041668 6722224 10083336 20166672