Search a number
-
+
20604456 = 23363533
BaseRepresentation
bin100111010011…
…0011000101000
31102202211000000
41032212120220
520233320311
62013343000
7340064205
oct116463050
942684000
1020604456
11106a3484
126a97a60
1343655b2
142a44cac
151c20056
hex13a6628

20604456 has 56 divisors (see below), whose sum is σ = 57939930. Its totient is φ = 6866208.

The previous prime is 20604433. The next prime is 20604457. The reversal of 20604456 is 65440602.

It is a happy number.

20604456 is a `hidden beast` number, since 2 + 0 + 604 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14699556 + 5904900 = 3834^2 + 2430^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20604457) 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 13 ways as a sum of consecutive naturals, for example, 4066 + ... + 7598.

Almost surely, 220604456 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 20604456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28969965).

20604456 is an abundant number, since it is smaller than the sum of its proper divisors (37335474).

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

20604456 is an equidigital number, since it uses as much as digits as its factorization.

20604456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557 (or 3538 counting only the distinct ones).

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

The square root of 20604456 is about 4539.2131476722. The cubic root of 20604456 is about 274.1492429356.

The spelling of 20604456 in words is "twenty million, six hundred four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 3533 5832 7066 10599 14132 21198 28264 31797 42396 63594 84792 95391 127188 190782 254376 286173 381564 572346 763128 858519 1144692 1717038 2289384 2575557 3434076 5151114 6868152 10302228 20604456