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20310432 = 253832549
BaseRepresentation
bin100110101111…
…0100110100000
31102012212200020
41031132212200
520144413212
62003153440
7334431042
oct115364640
942185606
1020310432
111051258a
126975880
13429180c
1429a9a92
151bb2d8c
hex135e9a0

20310432 has 48 divisors (see below), whose sum is σ = 53978400. Its totient is φ = 6685952.

The previous prime is 20310401. The next prime is 20310463. The reversal of 20310432 is 23401302.

20310432 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (20310401) and next prime (20310463).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6694 + ... + 9242.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 220310432 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 20310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26989200).

20310432 is an abundant number, since it is smaller than the sum of its proper divisors (33667968).

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

20310432 is a wasteful number, since it uses less digits than its factorization.

20310432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 20310432 is about 4506.7096644892. The cubic root of 20310432 is about 272.8389609619.

Adding to 20310432 its reverse (23401302), we get a palindrome (43711734).

The spelling of 20310432 in words is "twenty million, three hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1992 2549 2656 3984 5098 7647 7968 10196 15294 20392 30588 40784 61176 81568 122352 211567 244704 423134 634701 846268 1269402 1692536 2538804 3385072 5077608 6770144 10155216 20310432