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20031472 = 2419131503
BaseRepresentation
bin100110001101…
…0011111110000
31101200201000101
41030122133300
520112001342
61553202144
7332156536
oct114323760
941621011
1020031472
1110341a3a
126860354
1341c4856
142936156
151b5a3b7
hex131a7f0

20031472 has 40 divisors (see below), whose sum is σ = 41247360. Its totient is φ = 9397440.

The previous prime is 20031463. The next prime is 20031481. The reversal of 20031472 is 27413002.

It is an interprime number because it is at equal distance from previous prime (20031463) and next prime (20031481).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 39573 + ... + 40075.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 220031472 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 20031472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

20031472 is an abundant number, since it is smaller than the sum of its proper divisors (21215888).

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

20031472 is a wasteful number, since it uses less digits than its factorization.

20031472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 20031472 is about 4475.6532484097. The cubic root of 20031472 is about 271.5840672936.

Adding to 20031472 its reverse (27413002), we get a palindrome (47444474).

It can be divided in two parts, 20031 and 472, that added together give a triangular number (20503 = T202).

The spelling of 20031472 in words is "twenty million, thirty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 76 131 152 262 304 503 524 1006 1048 2012 2096 2489 4024 4978 8048 9557 9956 19114 19912 38228 39824 65893 76456 131786 152912 263572 527144 1054288 1251967 2503934 5007868 10015736 20031472