Search a number
-
+
120071124 = 22324181349
BaseRepresentation
bin1110010100000…
…10001111010100
322100221020121200
413022002033110
5221214233444
615525312500
72655405405
oct712021724
9270836550
10120071124
1161860238
1234265730
131bb50404
1411d379ac
15a81b969
hex72823d4

120071124 has 36 divisors (see below), whose sum is σ = 310919700. Its totient is φ = 39047040.

The previous prime is 120071113. The next prime is 120071141. The reversal of 120071124 is 421170021.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 117288900 = 1668^2 + 10830^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120071097 and 120071106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39199 + ... + 42150.

Almost surely, 2120071124 is an apocalyptic number.

It is an amenable number.

120071124 is an abundant number, since it is smaller than the sum of its proper divisors (190848576).

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

120071124 is a wasteful number, since it uses less digits than its factorization.

120071124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81400 (or 81395 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 120071124 is about 10957.6970208160. The cubic root of 120071124 is about 493.3398438797.

It can be divided in two parts, 12007 and 1124, that added together give a palindrome (13131).

The spelling of 120071124 in words is "one hundred twenty million, seventy-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 81349 162698 244047 325396 488094 732141 976188 1464282 2928564 3335309 6670618 10005927 13341236 20011854 30017781 40023708 60035562 120071124