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20087172 = 22327791009
BaseRepresentation
bin100110010100…
…0000110000100
31101210112102100
41030220012010
520120242142
61554312100
7332511120
oct114500604
941715370
1020087172
111037a876
126888630
134214001
14294c580
151b6bb4c
hex1328184

20087172 has 72 divisors (see below), whose sum is σ = 58822400. Its totient is φ = 5660928.

The previous prime is 20087143. The next prime is 20087213. The reversal of 20087172 is 27178002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19404 + ... + 20412.

Almost surely, 220087172 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 20087172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29411200).

20087172 is an abundant number, since it is smaller than the sum of its proper divisors (38735228).

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

20087172 is a wasteful number, since it uses less digits than its factorization.

20087172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 20087172 is about 4481.8714841013. The cubic root of 20087172 is about 271.8355587652.

It can be divided in two parts, 2008 and 7172, that added together give a triangular number (9180 = T135).

The spelling of 20087172 in words is "twenty million, eighty-seven thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 79 84 126 158 237 252 316 474 553 711 948 1009 1106 1422 1659 2018 2212 2844 3027 3318 4036 4977 6054 6636 7063 9081 9954 12108 14126 18162 19908 21189 28252 36324 42378 63567 79711 84756 127134 159422 239133 254268 318844 478266 557977 717399 956532 1115954 1434798 1673931 2231908 2869596 3347862 5021793 6695724 10043586 20087172