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20172642 = 23717191487
BaseRepresentation
bin100110011110…
…0111101100010
31101221212122220
41030330331202
520131011032
62000211510
7333315240
oct114747542
941855586
1020172642
1110429006
126909b96
134243b99
142971790
151b8712c
hex133cf62

20172642 has 64 divisors (see below), whose sum is σ = 51425280. Its totient is φ = 5135616.

The previous prime is 20172641. The next prime is 20172643. The reversal of 20172642 is 24627102.

It is an interprime number because it is at equal distance from previous prime (20172641) and next prime (20172643).

It is not an unprimeable number, because it can be changed into a prime (20172641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12823 + ... + 14309.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 220172642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20172642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25712640).

20172642 is an abundant number, since it is smaller than the sum of its proper divisors (31252638).

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

20172642 is a wasteful number, since it uses less digits than its factorization.

20172642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535.

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20172642 is about 4491.3964420879. The cubic root of 20172642 is about 272.2205625209.

Adding to 20172642 its reverse (24627102), we get a palindrome (44799744).

The spelling of 20172642 in words is "twenty million, one hundred seventy-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 51 57 102 114 119 133 238 266 323 357 399 646 714 798 969 1487 1938 2261 2974 4461 4522 6783 8922 10409 13566 20818 25279 28253 31227 50558 56506 62454 75837 84759 151674 169518 176953 197771 353906 395542 480301 530859 593313 960602 1061718 1186626 1440903 2881806 3362107 6724214 10086321 20172642