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20158432 = 257312903
BaseRepresentation
bin100110011100…
…1011111100000
31101221011011121
41030321133200
520130032212
62000022024
7333225640
oct114713740
941834147
1020158432
1110419368
126901914
13423a588
14296a520
151b82d07
hex13397e0

20158432 has 48 divisors (see below), whose sum is σ = 46835712. Its totient is φ = 8357760.

The previous prime is 20158427. The next prime is 20158433. The reversal of 20158432 is 23485102.

It is a junction number, because it is equal to n+sod(n) for n = 20158397 and 20158406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20158433) by changing a digit.

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, 5493 + ... + 8395.

It is an arithmetic number, because the mean of its divisors is an integer number (975744).

Almost surely, 220158432 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 20158432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23417856).

20158432 is an abundant number, since it is smaller than the sum of its proper divisors (26677280).

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

20158432 is a wasteful number, since it uses less digits than its factorization.

20158432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 20158432 is about 4489.8142500553. The cubic root of 20158432 is about 272.1566283597.

The spelling of 20158432 in words is "twenty million, one hundred fifty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 2903 3472 5806 6944 11612 20321 23224 40642 46448 81284 89993 92896 162568 179986 325136 359972 629951 650272 719944 1259902 1439888 2519804 2879776 5039608 10079216 20158432