Search a number
-
+
122104064 = 281728057
BaseRepresentation
bin1110100011100…
…10100100000000
322111202112021202
413101302210000
5222224312224
620041040332
73011603345
oct721624400
9274675252
10122104064
1162a19655
1234a860a8
131c3b2834
14123067cc
15aabdeae
hex7472900

122104064 has 36 divisors (see below), whose sum is σ = 258077484. Its totient is φ = 57458688.

The previous prime is 122104061. The next prime is 122104067. The reversal of 122104064 is 460401221.

It is an interprime number because it is at equal distance from previous prime (122104061) and next prime (122104067).

It can be written as a sum of positive squares in 2 ways, for example, as 81144064 + 40960000 = 9008^2 + 6400^2 .

It is not an unprimeable number, because it can be changed into a prime (122104061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9677 + ... + 18380.

It is an arithmetic number, because the mean of its divisors is an integer number (7168819).

Almost surely, 2122104064 is an apocalyptic number.

It is an amenable number.

122104064 is an abundant number, since it is smaller than the sum of its proper divisors (135973420).

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

122104064 is an equidigital number, since it uses as much as digits as its factorization.

122104064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28090 (or 28076 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 122104064 is about 11050.0707690042. The cubic root of 122104064 is about 496.1085437092.

Adding to 122104064 its reverse (460401221), we get a palindrome (582505285).

The spelling of 122104064 in words is "one hundred twenty-two million, one hundred four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 28057 56114 112228 224456 448912 476969 897824 953938 1795648 1907876 3591296 3815752 7182592 7631504 15263008 30526016 61052032 122104064