Search a number
-
+
20702376 = 2332417013
BaseRepresentation
bin100111011111…
…0010010101000
31102221210022200
41032332102220
520244434001
62015420200
7340652532
oct116762250
942853280
1020702376
1110760002
126b24660
13439b036
142a6c852
151c3e086
hex13be4a8

20702376 has 48 divisors (see below), whose sum is σ = 57444660. Its totient is φ = 6731520.

The previous prime is 20702347. The next prime is 20702399. The reversal of 20702376 is 67320702.

It can be written as a sum of positive squares in 2 ways, for example, as 20520900 + 181476 = 4530^2 + 426^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 555 + ... + 6458.

Almost surely, 220702376 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 20702376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28722330).

20702376 is an abundant number, since it is smaller than the sum of its proper divisors (36742284).

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

20702376 is a wasteful number, since it uses less digits than its factorization.

20702376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7066 (or 7059 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 20702376 is about 4549.9863736060. The cubic root of 20702376 is about 274.5828430022.

The spelling of 20702376 in words is "twenty million, seven hundred two thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 7013 14026 21039 28052 42078 56104 63117 84156 126234 168312 252468 287533 504936 575066 862599 1150132 1725198 2300264 2587797 3450396 5175594 6900792 10351188 20702376