Search a number
-
+
120003030 = 23257672843
BaseRepresentation
bin1110010011100…
…01100111010110
322100210210012200
413021301213112
5221210044110
615524025330
72655003030
oct711614726
9270723180
10120003030
1161814064
1234232246
131bb28414
1411d1ac50
15a8066c0
hex72719d6

120003030 has 96 divisors (see below), whose sum is σ = 362029824. Its totient is φ = 27010368.

The previous prime is 120003011. The next prime is 120003053. The reversal of 120003030 is 30300021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40789 + ... + 43631.

It is an arithmetic number, because the mean of its divisors is an integer number (3771144).

Almost surely, 2120003030 is an apocalyptic number.

120003030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120003030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181014912).

120003030 is an abundant number, since it is smaller than the sum of its proper divisors (242026794).

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

120003030 is a wasteful number, since it uses less digits than its factorization.

120003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 120003030 is about 10954.5894491761. The cubic root of 120003030 is about 493.2465662881.

Adding to 120003030 its reverse (30300021), we get a palindrome (150303051).

The spelling of 120003030 in words is "one hundred twenty million, three thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 315 335 402 469 603 630 670 938 1005 1206 1407 2010 2345 2814 2843 3015 4221 4690 5686 6030 7035 8442 8529 14070 14215 17058 19901 21105 25587 28430 39802 42210 42645 51174 59703 85290 99505 119406 127935 179109 190481 199010 255870 298515 358218 380962 571443 597030 895545 952405 1142886 1333367 1714329 1791090 1904810 2666734 2857215 3428658 4000101 5714430 6666835 8000202 8571645 12000303 13333670 17143290 20000505 24000606 40001010 60001515 120003030