Search a number
-
+
120033232 = 2411798997
BaseRepresentation
bin1110010011110…
…00111111010000
322100212022122021
413021320333100
5221212030412
615524421224
72655160054
oct711707720
9270768567
10120033232
1161834820
1234247814
131bb390a7
1411d27c64
15a810607
hex7278fd0

120033232 has 80 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 52715520.

The previous prime is 120033223. The next prime is 120033259. The reversal of 120033232 is 232330021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237408 + ... + 1237504.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2120033232 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 120033232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

120033232 is an abundant number, since it is smaller than the sum of its proper divisors (142449968).

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

120033232 is a wasteful number, since it uses less digits than its factorization.

120033232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 120033232 is about 10955.9678714388. The cubic root of 120033232 is about 493.2879424190.

Adding to 120033232 its reverse (232330021), we get a palindrome (352363253).

The spelling of 120033232 in words is "one hundred twenty million, thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 89 97 158 176 178 194 316 356 388 632 712 776 869 979 1067 1264 1424 1552 1738 1958 2134 3476 3916 4268 6952 7031 7663 7832 8536 8633 13904 14062 15326 15664 17072 17266 28124 30652 34532 56248 61304 69064 77341 84293 94963 112496 122608 138128 154682 168586 189926 309364 337172 379852 618728 674344 682007 759704 1237456 1348688 1364014 1519408 2728028 5456056 7502077 10912112 15004154 30008308 60016616 120033232