Search a number
-
+
120013608 = 23311313172
BaseRepresentation
bin1110010011101…
…00001100101000
322100211022201110
413021310030220
5221210413413
615524150320
72655045621
oct711641450
9270738643
10120013608
1161821000
12342383a0
131bb30190
1411d20a48
15a8098c3
hex7274328

120013608 has 192 divisors, whose sum is σ = 377536320. Its totient is φ = 31595520.

The previous prime is 120013583. The next prime is 120013627. The reversal of 120013608 is 806310021.

It is a super-2 number, since 2×1200136082 = 28806532210355328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7059616 + ... + 7059632.

It is an arithmetic number, because the mean of its divisors is an integer number (1966335).

Almost surely, 2120013608 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 120013608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188768160).

120013608 is an abundant number, since it is smaller than the sum of its proper divisors (257522712).

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

120013608 is a wasteful number, since it uses less digits than its factorization.

120013608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 120013608 is about 10955.0722498759. The cubic root of 120013608 is about 493.2610587247.

Adding to 120013608 its reverse (806310021), we get a palindrome (926323629).

The spelling of 120013608 in words is "one hundred twenty million, thirteen thousand, six hundred eight".