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20947104 = 253272733
BaseRepresentation
bin100111111101…
…0000010100000
31110102020000200
41033322002200
520330301404
62024545200
7343022163
oct117720240
943366020
1020947104
1110907962
127022200
134455549
142ad3ada
151c8b839
hex13fa0a0

20947104 has 36 divisors (see below), whose sum is σ = 59569146. Its totient is φ = 6982272.

The previous prime is 20947093. The next prime is 20947109. The reversal of 20947104 is 40174902.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13395600 + 7551504 = 3660^2 + 2748^2 .

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 (20947109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36079 + ... + 36654.

Almost surely, 220947104 is an apocalyptic number.

20947104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20947104 is an abundant number, since it is smaller than the sum of its proper divisors (38622042).

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

20947104 is a wasteful number, since it uses less digits than its factorization.

20947104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72749 (or 72738 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 20947104 is about 4576.8006292606. The cubic root of 20947104 is about 275.6605783434.

The spelling of 20947104 in words is "twenty million, nine hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 72733 145466 218199 290932 436398 581864 654597 872796 1163728 1309194 1745592 2327456 2618388 3491184 5236776 6982368 10473552 20947104