Search a number
-
+
120532014 = 23237712549
BaseRepresentation
bin1110010111100…
…10110000101110
322101210122211200
413023302300232
5221324011024
615543230330
72662335201
oct713626056
9271718750
10120532014
1162045539
12344483a6
131bc82125
1412017938
15a8ad2c9
hex72f2c2e

120532014 has 48 divisors (see below), whose sum is σ = 272095200. Its totient is φ = 38525760.

The previous prime is 120531973. The next prime is 120532031. The reversal of 120532014 is 410235021.

120532014 is a `hidden beast` number, since 120 + 532 + 0 + 14 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46012 + ... + 48560.

It is an arithmetic number, because the mean of its divisors is an integer number (5668650).

Almost surely, 2120532014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120532014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136047600).

120532014 is an abundant number, since it is smaller than the sum of its proper divisors (151563186).

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

120532014 is a wasteful number, since it uses less digits than its factorization.

120532014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2665 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120532014 is about 10978.7073009531. The cubic root of 120532014 is about 493.9702621600.

Adding to 120532014 its reverse (410235021), we get a palindrome (530767035).

The spelling of 120532014 in words is "one hundred twenty million, five hundred thirty-two thousand, fourteen".

Divisors: 1 2 3 6 9 18 37 71 74 111 142 213 222 333 426 639 666 1278 2549 2627 5098 5254 7647 7881 15294 15762 22941 23643 45882 47286 94313 180979 188626 282939 361958 542937 565878 848817 1085874 1628811 1697634 3257622 6696223 13392446 20088669 40177338 60266007 120532014