Search a number
-
+
122624416 = 259534021
BaseRepresentation
bin1110100111100…
…01100110100000
322112201222002001
413103301212200
5222342440131
620100133344
73016201405
oct723614640
9275658061
10122624416
11632445a2
1235097254
131c535635
14124002ac
15ab73261
hex74f19a0

122624416 has 24 divisors (see below), whose sum is σ = 241730244. Its totient is φ = 61232640.

The previous prime is 122624413. The next prime is 122624429. The reversal of 122624416 is 614426221.

It can be written as a sum of positive squares in 2 ways, for example, as 111091600 + 11532816 = 10540^2 + 3396^2 .

It is not an unprimeable number, because it can be changed into a prime (122624413) 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, 28486 + ... + 32506.

Almost surely, 2122624416 is an apocalyptic number.

122624416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122624416 is a deficient number, since it is larger than the sum of its proper divisors (119105828).

122624416 is an equidigital number, since it uses as much as digits as its factorization.

122624416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4984 (or 4976 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The square root of 122624416 is about 11073.5909261630. The cubic root of 122624416 is about 496.8122746709.

The spelling of 122624416 in words is "one hundred twenty-two million, six hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 953 1906 3812 4021 7624 8042 15248 16084 30496 32168 64336 128672 3832013 7664026 15328052 30656104 61312208 122624416