Search a number
-
+
120113344 = 2613314657
BaseRepresentation
bin1110010100011…
…00100011000000
322101000101112101
413022030203000
5221222111334
615530240144
72655642451
oct712144300
9271011471
10120113344
1161889a2a
1234286054
131bb666b0
1411d49128
15a829214
hex728c8c0

120113344 has 56 divisors (see below), whose sum is σ = 265021568. Its totient is φ = 53637120.

The previous prime is 120113339. The next prime is 120113351. The reversal of 120113344 is 443311021.

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, 23464 + ... + 28120.

It is an arithmetic number, because the mean of its divisors is an integer number (4732528).

Almost surely, 2120113344 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 120113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132510784).

120113344 is an abundant number, since it is smaller than the sum of its proper divisors (144908224).

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

120113344 is a wasteful number, since it uses less digits than its factorization.

120113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4703 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 120113344 is about 10959.6233511923. The cubic root of 120113344 is about 493.3976606322.

Adding to 120113344 its reverse (443311021), we get a palindrome (563424365).

The spelling of 120113344 in words is "one hundred twenty million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 248 403 416 496 806 832 992 1612 1984 3224 4657 6448 9314 12896 18628 25792 37256 60541 74512 121082 144367 149024 242164 288734 298048 484328 577468 968656 1154936 1876771 1937312 2309872 3753542 3874624 4619744 7507084 9239488 15014168 30028336 60056672 120113344