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20140272 = 2433232027
BaseRepresentation
bin100110011010…
…1000011110000
31101220020021000
41030311003300
520123442042
61555402000
7333121665
oct114650360
941806230
1020140272
1110406759
1268b3300
134232229
142963a6c
151b7c74c
hex13350f0

20140272 has 80 divisors (see below), whose sum is σ = 60353280. Its totient is φ = 6418368.

The previous prime is 20140271. The next prime is 20140273. The reversal of 20140272 is 27204102.

It is an interprime number because it is at equal distance from previous prime (20140271) and next prime (20140273).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20140271) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8923 + ... + 10949.

It is an arithmetic number, because the mean of its divisors is an integer number (754416).

Almost surely, 220140272 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 20140272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176640).

20140272 is an abundant number, since it is smaller than the sum of its proper divisors (40213008).

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

20140272 is a wasteful number, since it uses less digits than its factorization.

20140272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20140272 is about 4487.7914390043. The cubic root of 20140272 is about 272.0748784622.

Adding to 20140272 its reverse (27204102), we get a palindrome (47344374).

The spelling of 20140272 in words is "twenty million, one hundred forty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2027 2484 3312 4054 4968 6081 8108 9936 12162 16216 18243 24324 32432 36486 46621 48648 54729 72972 93242 97296 109458 139863 145944 186484 218916 279726 291888 372968 419589 437832 559452 745936 839178 875664 1118904 1258767 1678356 2237808 2517534 3356712 5035068 6713424 10070136 20140272