Search a number
-
+
120335248 = 241117371087
BaseRepresentation
bin1110010110000…
…10101110010000
322101102122221001
413023002232100
5221301211443
615535111344
72660555425
oct713025620
9271378831
10120335248
1161a20720
1234372554
131bc136b7
1411da5d4c
15a86ed4d
hex72c2b90

120335248 has 80 divisors (see below), whose sum is σ = 276839424. Its totient is φ = 50042880.

The previous prime is 120335213. The next prime is 120335251. The reversal of 120335248 is 842533021.

It is a super-2 number, since 2×1203352482 = 28961143822443008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110161 + ... + 111247.

Almost surely, 2120335248 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 120335248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138419712).

120335248 is an abundant number, since it is smaller than the sum of its proper divisors (156504176).

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

120335248 is a wasteful number, since it uses less digits than its factorization.

120335248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 120335248 is about 10969.7423853070. The cubic root of 120335248 is about 493.7013170395.

Adding to 120335248 its reverse (842533021), we get a palindrome (962868269).

The spelling of 120335248 in words is "one hundred twenty million, three hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 37 44 68 74 88 136 148 176 187 272 296 374 407 592 629 748 814 1087 1258 1496 1628 2174 2516 2992 3256 4348 5032 6512 6919 8696 10064 11957 13838 17392 18479 23914 27676 36958 40219 47828 55352 73916 80438 95656 110704 147832 160876 191312 203269 295664 321752 406538 442409 643504 683723 813076 884818 1367446 1626152 1769636 2734892 3252304 3539272 5469784 7078544 7520953 10939568 15041906 30083812 60167624 120335248