Search a number
-
+
120531224 = 2311172331113
BaseRepresentation
bin1110010111100…
…10100100011000
322101210121202102
413023302210120
5221323444344
615543222532
72662332662
oct713624430
9271717672
10120531224
1162044990
1234447a48
131bc81968
1412017532
15a8ace4e
hex72f2918

120531224 has 128 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 47308800.

The previous prime is 120531223. The next prime is 120531227. The reversal of 120531224 is 422135021.

120531224 is nontrivially palindromic in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 120531196 and 120531205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120531223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066592 + ... + 1066704.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 2120531224 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 120531224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

120531224 is an abundant number, since it is smaller than the sum of its proper divisors (163137256).

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

120531224 is a wasteful number, since it uses less digits than its factorization.

120531224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 120531224 is about 10978.6713221592. The cubic root of 120531224 is about 493.9691829520.

Adding to 120531224 its reverse (422135021), we get a palindrome (542666245).

The spelling of 120531224 in words is "one hundred twenty million, five hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 23 31 34 44 46 62 68 88 92 113 124 136 184 187 226 248 253 341 374 391 452 506 527 682 713 748 782 904 1012 1054 1243 1364 1426 1496 1564 1921 2024 2108 2486 2599 2728 2852 3128 3503 3842 4216 4301 4972 5198 5704 5797 7006 7684 7843 8602 9944 10396 11594 12121 14012 15368 15686 17204 20792 21131 23188 24242 28024 28589 31372 34408 38533 42262 44183 46376 48484 57178 59551 62744 77066 80569 84524 88366 96968 114356 119102 133331 154132 161138 169048 176732 228712 238204 266662 308264 322276 353464 476408 486013 533324 644552 655061 886259 972026 1066648 1310122 1369673 1772518 1944052 2620244 2739346 3545036 3888104 5240488 5478692 7090072 10957384 15066403 30132806 60265612 120531224