Search a number
-
+
122542240 = 255765889
BaseRepresentation
bin1110100110111…
…01100010100000
322112120210100111
413103131202200
5222332322430
620054301104
73015410002
oct723354240
9275523314
10122542240
1163198887
1235057794
131c507102
14123bc372
15ab58c2a
hex74dd8a0

122542240 has 24 divisors (see below), whose sum is σ = 289506420. Its totient is φ = 49016832.

The previous prime is 122542223. The next prime is 122542241. The reversal of 122542240 is 42245221.

It can be written as a sum of positive squares in 2 ways, for example, as 122500624 + 41616 = 11068^2 + 204^2 .

It is not an unprimeable number, because it can be changed into a prime (122542241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 382785 + ... + 383104.

Almost surely, 2122542240 is an apocalyptic number.

122542240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122542240 is an abundant number, since it is smaller than the sum of its proper divisors (166964180).

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

122542240 is an equidigital number, since it uses as much as digits as its factorization.

122542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765904 (or 765896 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 122542240 is about 11069.8798548132. The cubic root of 122542240 is about 496.7012713053.

Adding to 122542240 its reverse (42245221), we get a palindrome (164787461).

The spelling of 122542240 in words is "one hundred twenty-two million, five hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 765889 1531778 3063556 3829445 6127112 7658890 12254224 15317780 24508448 30635560 61271120 122542240