Search a number
-
+
20156928 = 293111193
BaseRepresentation
bin100110011100…
…1001000000000
31101221002002220
41030321020000
520130010203
62000011040
7333221361
oct114711000
941832086
1020156928
1110418220
126900a80
13423999c
142969b68
151b82653
hex1339200

20156928 has 80 divisors (see below), whose sum is σ = 58630176. Its totient is φ = 6103040.

The previous prime is 20156923. The next prime is 20156933. The reversal of 20156928 is 82965102.

It is an interprime number because it is at equal distance from previous prime (20156923) and next prime (20156933).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20156921) 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, 16300 + ... + 17492.

Almost surely, 220156928 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 20156928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29315088).

20156928 is an abundant number, since it is smaller than the sum of its proper divisors (38473248).

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

20156928 is a wasteful number, since it uses less digits than its factorization.

20156928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 20156928 is about 4489.6467567059. The cubic root of 20156928 is about 272.1498597487.

The spelling of 20156928 in words is "twenty million, one hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1193 1408 1536 2112 2386 2816 3579 4224 4772 5632 7158 8448 9544 13123 14316 16896 19088 26246 28632 38176 39369 52492 57264 76352 78738 104984 114528 152704 157476 209968 229056 305408 314952 419936 458112 610816 629904 839872 916224 1259808 1679744 1832448 2519616 3359488 5039232 6718976 10078464 20156928