Search a number
-
+
20378527 = 132373259
BaseRepresentation
bin100110110111…
…1001110011111
31102100100002021
41031233032133
520204103102
62004441011
7335133421
oct115571637
942310067
1020378527
1110559764
1269a9167
1342b6800
1429c6811
151bc8137
hex136f39f

20378527 has 12 divisors (see below), whose sum is σ = 22670040. Its totient is φ = 18296928.

The previous prime is 20378513. The next prime is 20378539. The reversal of 20378527 is 72587302.

It is not a de Polignac number, because 20378527 - 27 = 20378399 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20378492 and 20378501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20378557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4624 + ... + 7882.

It is an arithmetic number, because the mean of its divisors is an integer number (1889170).

Almost surely, 220378527 is an apocalyptic number.

20378527 is a deficient number, since it is larger than the sum of its proper divisors (2291513).

20378527 is a wasteful number, since it uses less digits than its factorization.

20378527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 20378527 is about 4514.2581893374. The cubic root of 20378527 is about 273.1435375186.

The spelling of 20378527 in words is "twenty million, three hundred seventy-eight thousand, five hundred twenty-seven".

Divisors: 1 13 37 169 481 3259 6253 42367 120583 550771 1567579 20378527