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20143632 = 243292499
BaseRepresentation
bin100110011010…
…1111000010000
31101220101212110
41030311320100
520124044012
61555425320
7333134535
oct114657020
941811773
1020143632
1110409233
1268b5240
134233912
142964d8c
151b7d73c
hex1335e10

20143632 has 60 divisors (see below), whose sum is σ = 54002000. Its totient is φ = 6470016.

The previous prime is 20143631. The next prime is 20143633. The reversal of 20143632 is 23634102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20143631) and next prime (20143633).

It is a junction number, because it is equal to n+sod(n) for n = 20143599 and 20143608.

It is not an unprimeable number, because it can be changed into a prime (20143631) 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 11 ways as a sum of consecutive naturals, for example, 40119 + ... + 40617.

Almost surely, 220143632 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 20143632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27001000).

20143632 is an abundant number, since it is smaller than the sum of its proper divisors (33858368).

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

20143632 is a wasteful number, since it uses less digits than its factorization.

20143632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 20143632 is about 4488.1657723395. The cubic root of 20143632 is about 272.0900076978.

Adding to 20143632 its reverse (23634102), we get a palindrome (43777734).

The spelling of 20143632 in words is "twenty million, one hundred forty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 499 696 841 998 1392 1497 1682 1996 2523 2994 3364 3992 5046 5988 6728 7984 10092 11976 13456 14471 20184 23952 28942 40368 43413 57884 86826 115768 173652 231536 347304 419659 694608 839318 1258977 1678636 2517954 3357272 5035908 6714544 10071816 20143632