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20142420 = 2235389863
BaseRepresentation
bin100110011010…
…1100101010100
31101220100012120
41030311211110
520124024140
61555415540
7333131154
oct114654524
941810176
1020142420
1110408331
1268b45b0
1342331bc
142964764
151b7d1d0
hex1335954

20142420 has 48 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 5351296.

The previous prime is 20142401. The next prime is 20142427. The reversal of 20142420 is 2424102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20142420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22909 + ... + 23771.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 220142420 is an apocalyptic number.

20142420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20142420 is an abundant number, since it is smaller than the sum of its proper divisors (36466860).

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

20142420 is a wasteful number, since it uses less digits than its factorization.

20142420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 20142420 is about 4488.0307485578. The cubic root of 20142420 is about 272.0845505604.

Adding to 20142420 its reverse (2424102), we get a palindrome (22566522).

The spelling of 20142420 in words is "twenty million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 389 778 863 1167 1556 1726 1945 2334 2589 3452 3890 4315 4668 5178 5835 7780 8630 10356 11670 12945 17260 23340 25890 51780 335707 671414 1007121 1342828 1678535 2014242 3357070 4028484 5035605 6714140 10071210 20142420