[go: up one dir, main page]

Search a number
-
+
21196164 = 223111031559
BaseRepresentation
bin101000011011…
…0110110000100
31110212212200010
41100312312010
520411234124
62034150220
7345110253
oct120666604
943785603
1021196164
1110a67aa0
127122370
134511a12
142b5a79a
151cda529
hex1436d84

21196164 has 48 divisors (see below), whose sum is σ = 54512640. Its totient is φ = 6356640.

The previous prime is 21196159. The next prime is 21196169. The reversal of 21196164 is 46169112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21196159) and next prime (21196169).

It is not an unprimeable number, because it can be changed into a prime (21196169) 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 15 ways as a sum of consecutive naturals, for example, 12817 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 221196164 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 21196164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27256320).

21196164 is an abundant number, since it is smaller than the sum of its proper divisors (33316476).

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

21196164 is a wasteful number, since it uses less digits than its factorization.

21196164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1678 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 21196164 is about 4603.9291914624. The cubic root of 21196164 is about 276.7488067587.

The spelling of 21196164 in words is "twenty-one million, one hundred ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 1559 2266 3118 3399 4532 4677 6236 6798 9354 13596 17149 18708 34298 51447 68596 102894 160577 205788 321154 481731 642308 963462 1766347 1926924 3532694 5299041 7065388 10598082 21196164