Search a number
-
+
21391128 = 2334113001
BaseRepresentation
bin101000110011…
…0011100011000
31111020210010000
41101212130120
520434004003
62042253000
7346551543
oct121463430
944223100
1021391128
1111090520
1271b7160
13457c695
142bab85a
151d281a3
hex1466718

21391128 has 80 divisors (see below), whose sum is σ = 65383560. Its totient is φ = 6480000.

The previous prime is 21391091. The next prime is 21391129. The reversal of 21391128 is 82119312.

It is a super-2 number, since 2×213911282 = 915160714224768, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21391129) 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 19 ways as a sum of consecutive naturals, for example, 5628 + ... + 8628.

Almost surely, 221391128 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 21391128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32691780).

21391128 is an abundant number, since it is smaller than the sum of its proper divisors (43992432).

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

21391128 is a wasteful number, since it uses less digits than its factorization.

21391128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030 (or 3017 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 21391128 is about 4625.0543780587. The cubic root of 21391128 is about 277.5947375583.

The spelling of 21391128 in words is "twenty-one million, three hundred ninety-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 3001 3564 6002 7128 9003 12004 18006 24008 27009 33011 36012 54018 66022 72024 81027 99033 108036 132044 162054 198066 216072 243081 264088 297099 324108 396132 486162 594198 648216 792264 891297 972324 1188396 1782594 1944648 2376792 2673891 3565188 5347782 7130376 10695564 21391128