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122024406 = 23721133673
BaseRepresentation
bin1110100010111…
…11000111010110
322111121111000110
413101133013112
5222214240111
620035223450
73011122200
oct721370726
9274544013
10122024406
1162974819
1234a47b86
131c3854ba
14122c5770
15aaa55a6
hex745f1d6

122024406 has 48 divisors (see below), whose sum is σ = 286483824. Its totient is φ = 34546176.

The previous prime is 122024389. The next prime is 122024417. The reversal of 122024406 is 604420221.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31386 + ... + 35058.

It is an arithmetic number, because the mean of its divisors is an integer number (5968413).

Almost surely, 2122024406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122024406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143241912).

122024406 is an abundant number, since it is smaller than the sum of its proper divisors (164459418).

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

122024406 is a wasteful number, since it uses less digits than its factorization.

122024406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805 (or 3798 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 122024406 is about 11046.4657696478. The cubic root of 122024406 is about 496.0006368141. Note that the first 3 decimals are identical.

Adding to 122024406 its reverse (604420221), we get a palindrome (726444627).

The spelling of 122024406 in words is "one hundred twenty-two million, twenty-four thousand, four hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 113 147 226 294 339 678 791 1582 2373 3673 4746 5537 7346 11019 11074 16611 22038 25711 33222 51422 77133 154266 179977 359954 415049 539931 830098 1079862 1245147 2490294 2905343 5810686 8716029 17432058 20337401 40674802 61012203 122024406