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20532384 = 253271293
BaseRepresentation
bin100111001010…
…0110010100000
31102122011010200
41032110302200
520224014014
62012025200
7336344115
oct116246240
942564120
1020532384
1110654314
126a62200
13433b852
142a2690c
151c08a09
hex1394ca0

20532384 has 36 divisors (see below), whose sum is σ = 58389786. Its totient is φ = 6844032.

The previous prime is 20532383. The next prime is 20532433. The reversal of 20532384 is 48323502.

It can be written as a sum of positive squares in only one way, i.e., 10419984 + 10112400 = 3228^2 + 3180^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20532383) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35359 + ... + 35934.

Almost surely, 220532384 is an apocalyptic number.

20532384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20532384 is an abundant number, since it is smaller than the sum of its proper divisors (37857402).

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

20532384 is a wasteful number, since it uses less digits than its factorization.

20532384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71309 (or 71298 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 20532384 is about 4531.2673723805. The cubic root of 20532384 is about 273.8292220828.

Adding to 20532384 its reverse (48323502), we get a palindrome (68855886).

The spelling of 20532384 in words is "twenty million, five hundred thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 71293 142586 213879 285172 427758 570344 641637 855516 1140688 1283274 1711032 2281376 2566548 3422064 5133096 6844128 10266192 20532384