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20142444 = 2237613931
BaseRepresentation
bin100110011010…
…1100101101100
31101220100020110
41030311211230
520124024234
61555420020
7333131220
oct114654554
941810213
1020142444
1110408353
1268b4610
13423320a
142964780
151b7d1e9
hex133596c

20142444 has 48 divisors (see below), whose sum is σ = 54607616. Its totient is φ = 5659200.

The previous prime is 20142427. The next prime is 20142481. The reversal of 20142444 is 44424102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 20142444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3159 + ... + 7089.

Almost surely, 220142444 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 20142444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27303808).

20142444 is an abundant number, since it is smaller than the sum of its proper divisors (34465172).

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

20142444 is a wasteful number, since it uses less digits than its factorization.

20142444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 20142444 is about 4488.0334223354. The cubic root of 20142444 is about 272.0846586246.

Adding to 20142444 its reverse (44424102), we get a palindrome (64566546).

The spelling of 20142444 in words is "twenty million, one hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 1281 1708 2562 3931 5124 7862 11793 15724 23586 27517 47172 55034 82551 110068 165102 239791 330204 479582 719373 959164 1438746 1678537 2877492 3357074 5035611 6714148 10071222 20142444