Search a number
-
+
122742752 = 25112391459
BaseRepresentation
bin1110101000011…
…10011111100000
322112221222101212
413110032133200
5222410232002
620102445252
73020203406
oct724163740
9275858355
10122742752
11633154a0
1235133828
131c577462
1412431476
15ab98352
hex750e7e0

122742752 has 48 divisors (see below), whose sum is σ = 264902400. Its totient is φ = 55520640.

The previous prime is 122742713. The next prime is 122742779. The reversal of 122742752 is 257247221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83399 + ... + 84857.

It is an arithmetic number, because the mean of its divisors is an integer number (5518800).

Almost surely, 2122742752 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 122742752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132451200).

122742752 is an abundant number, since it is smaller than the sum of its proper divisors (142159648).

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

122742752 is a wasteful number, since it uses less digits than its factorization.

122742752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1711 counting only the distinct ones).

The product of its digits is 15680, while the sum is 32.

The square root of 122742752 is about 11078.9328005905. The cubic root of 122742752 is about 496.9720358827.

Adding to 122742752 its reverse (257247221), we get a palindrome (379989973).

The spelling of 122742752 in words is "one hundred twenty-two million, seven hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 239 352 478 956 1459 1912 2629 2918 3824 5258 5836 7648 10516 11672 16049 21032 23344 32098 42064 46688 64196 84128 128392 256784 348701 513568 697402 1394804 2789608 3835711 5579216 7671422 11158432 15342844 30685688 61371376 122742752