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20141220 = 22351130517
BaseRepresentation
bin100110011010…
…1010010100100
31101220021120010
41030311102210
520124004340
61555410220
7333124521
oct114652244
941807503
1020141220
1110407440
1268b3970
1342327a8
142964148
151b7cb80
hex13354a4

20141220 has 48 divisors (see below), whose sum is σ = 61524288. Its totient is φ = 4882560.

The previous prime is 20141207. The next prime is 20141221. The reversal of 20141220 is 2214102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20141196 and 20141205.

It is not an unprimeable number, because it can be changed into a prime (20141221) 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, 14599 + ... + 15918.

It is an arithmetic number, because the mean of its divisors is an integer number (1281756).

Almost surely, 220141220 is an apocalyptic number.

20141220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20141220 is an abundant number, since it is smaller than the sum of its proper divisors (41383068).

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

20141220 is a wasteful number, since it uses less digits than its factorization.

20141220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30540 (or 30538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20141220 is about 4487.8970576429. The cubic root of 20141220 is about 272.0791472384.

Adding to 20141220 its reverse (2214102), we get a palindrome (22355322).

The spelling of 20141220 in words is "twenty million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 30517 61034 91551 122068 152585 183102 305170 335687 366204 457755 610340 671374 915510 1007061 1342748 1678435 1831020 2014122 3356870 4028244 5035305 6713740 10070610 20141220