Search a number
-
+
120332142 = 2357231163
BaseRepresentation
bin1110010110000…
…01111101101110
322101102111200000
413023001331232
5221301112032
615535045130
72660543400
oct713017556
9271374600
10120332142
1161a19357
12343707a6
131bc12168
1411da4b70
15a86de7c
hex72c1f6e

120332142 has 144 divisors (see below), whose sum is σ = 326656512. Its totient is φ = 33067440.

The previous prime is 120332129. The next prime is 120332167. The reversal of 120332142 is 241233021.

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 71 ways as a sum of consecutive naturals, for example, 738153 + ... + 738315.

It is an arithmetic number, because the mean of its divisors is an integer number (2268448).

Almost surely, 2120332142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120332142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163328256).

120332142 is an abundant number, since it is smaller than the sum of its proper divisors (206324370).

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

120332142 is a wasteful number, since it uses less digits than its factorization.

120332142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120332142 is about 10969.6008131563. The cubic root of 120332142 is about 493.6970693246.

Adding to 120332142 its reverse (241233021), we get a palindrome (361565163).

The spelling of 120332142 in words is "one hundred twenty million, three hundred thirty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 81 93 98 126 147 162 163 186 189 217 243 279 294 326 378 434 441 486 489 558 567 651 837 882 978 1134 1141 1302 1323 1467 1519 1674 1701 1953 2282 2511 2646 2934 3038 3402 3423 3906 3969 4401 4557 5022 5053 5859 6846 7533 7938 7987 8802 9114 10106 10269 11718 11907 13203 13671 15066 15159 15974 17577 20538 23814 23961 26406 27342 30318 30807 35154 35371 39609 41013 45477 47922 52731 61614 70742 71883 79218 82026 90954 92421 105462 106113 123039 136431 143766 184842 212226 215649 246078 247597 272862 277263 318339 369117 409293 431298 495194 554526 636678 646947 738234 742791 818586 955017 1227879 1293894 1485582 1910034 1940841 2228373 2455758 2865051 3881682 4456746 5730102 6685119 8595153 13370238 17190306 20055357 40110714 60166071 120332142