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20127432 = 23313312081
BaseRepresentation
bin100110011000…
…1111011001000
31101212120122110
41030301323020
520123034212
61555222320
7333036363
oct114617310
941776573
1020127432
11103a8046
1268a79a0
134229430
14295d0da
151b78a3c
hex1331ec8

20127432 has 64 divisors (see below), whose sum is σ = 55964160. Its totient is φ = 5990400.

The previous prime is 20127431. The next prime is 20127451. The reversal of 20127432 is 23472102.

It is a super-2 number, since 2×201274322 = 810227037829248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20127399 and 20127408.

It is not an unprimeable number, because it can be changed into a prime (20127431) 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, 8632 + ... + 10712.

It is an arithmetic number, because the mean of its divisors is an integer number (874440).

Almost surely, 220127432 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 20127432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27982080).

20127432 is an abundant number, since it is smaller than the sum of its proper divisors (35836728).

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

20127432 is a wasteful number, since it uses less digits than its factorization.

20127432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 20127432 is about 4486.3606631656. The cubic root of 20127432 is about 272.0170476628.

Adding to 20127432 its reverse (23472102), we get a palindrome (43599534).

The spelling of 20127432 in words is "twenty million, one hundred twenty-seven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2081 2418 3224 4162 4836 6243 8324 9672 12486 16648 24972 27053 49944 54106 64511 81159 108212 129022 162318 193533 216424 258044 324636 387066 516088 649272 774132 838643 1548264 1677286 2515929 3354572 5031858 6709144 10063716 20127432