Search a number
-
+
20075776 = 28717659
BaseRepresentation
bin100110010010…
…1010100000000
31101202221210021
41030211110000
520114411101
61554143224
7332432650
oct114452400
941687707
1020075776
1110372256
126881b14
13420ba76
142948360
151b685a1
hex1325500

20075776 has 72 divisors (see below), whose sum is σ = 48565440. Its totient is φ = 8085504.

The previous prime is 20075767. The next prime is 20075777. The reversal of 20075776 is 67757002.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20075777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30135 + ... + 30793.

It is an arithmetic number, because the mean of its divisors is an integer number (674520).

Almost surely, 220075776 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 20075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24282720).

20075776 is an abundant number, since it is smaller than the sum of its proper divisors (28489664).

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

20075776 is an equidigital number, since it uses as much as digits as its factorization.

20075776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 34.

The square root of 20075776 is about 4480.5999598268. The cubic root of 20075776 is about 271.7841424676.

The spelling of 20075776 in words is "twenty million, seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 659 896 952 1088 1318 1792 1904 2176 2636 3808 4352 4613 5272 7616 9226 10544 11203 15232 18452 21088 22406 30464 36904 42176 44812 73808 78421 84352 89624 147616 156842 168704 179248 295232 313684 358496 590464 627368 716992 1180928 1254736 1433984 2509472 2867968 5018944 10037888 20075776