Search a number
-
+
20045376 = 2632132677
BaseRepresentation
bin100110001110…
…1111001000000
31101201102002100
41030131321000
520112423001
61553350400
7332245221
oct114357100
941642070
1020045376
111035142a
126868400
1341cac90
14293b248
151b5e586
hex131de40

20045376 has 84 divisors (see below), whose sum is σ = 61899292. Its totient is φ = 6165504.

The previous prime is 20045371. The next prime is 20045387. The reversal of 20045376 is 67354002.

It is a happy number.

20045376 is a `hidden beast` number, since 200 + 453 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1382976 + 18662400 = 1176^2 + 4320^2 .

It is not an unprimeable number, because it can be changed into a prime (20045371) 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 11 ways as a sum of consecutive naturals, for example, 6150 + ... + 8826.

Almost surely, 220045376 is an apocalyptic number.

20045376 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20045376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30949646).

20045376 is an abundant number, since it is smaller than the sum of its proper divisors (41853916).

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

20045376 is a wasteful number, since it uses less digits than its factorization.

20045376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20045376 is about 4477.2062717726. The cubic root of 20045376 is about 271.6468889630.

Adding to 20045376 its reverse (67354002), we get a palindrome (87399378).

The spelling of 20045376 in words is "twenty million, forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 2677 3744 5354 7488 8031 10708 16062 21416 24093 32124 34801 42832 48186 64248 69602 85664 96372 104403 128496 139204 171328 192744 208806 256992 278408 313209 385488 417612 513984 556816 626418 770976 835224 1113632 1252836 1541952 1670448 2227264 2505672 3340896 5011344 6681792 10022688 20045376