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120242070 = 23451319601
BaseRepresentation
bin1110010101010…
…11111110010110
322101020221010000
413022223332112
5221240221240
615533112130
72660016654
oct712537626
9271227100
10120242070
1161967713
1234328646
131bbb0170
1411d7ddd4
15a852430
hex72abf96

120242070 has 160 divisors (see below), whose sum is σ = 367123680. Its totient is φ = 27993600.

The previous prime is 120242063. The next prime is 120242117. The reversal of 120242070 is 70242021.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199770 + ... + 200370.

It is an arithmetic number, because the mean of its divisors is an integer number (2294523).

Almost surely, 2120242070 is an apocalyptic number.

120242070 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 120242070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183561840).

120242070 is an abundant number, since it is smaller than the sum of its proper divisors (246881610).

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

120242070 is a wasteful number, since it uses less digits than its factorization.

120242070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 120242070 is about 10965.4945168925. The cubic root of 120242070 is about 493.5738565195.

Adding to 120242070 its reverse (70242021), we get a palindrome (190484091).

The spelling of 120242070 in words is "one hundred twenty million, two hundred forty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 30 38 39 45 54 57 65 78 81 90 95 114 117 130 135 162 171 190 195 234 247 270 285 342 351 390 405 494 513 570 585 601 702 741 810 855 1026 1053 1170 1202 1235 1482 1539 1710 1755 1803 2106 2223 2470 2565 3005 3078 3510 3606 3705 4446 5130 5265 5409 6010 6669 7410 7695 7813 9015 10530 10818 11115 11419 13338 15390 15626 16227 18030 20007 22230 22838 23439 27045 32454 33345 34257 39065 40014 46878 48681 54090 57095 66690 68514 70317 78130 81135 97362 100035 102771 114190 117195 140634 148447 162270 171285 200070 205542 210951 234390 243405 296894 308313 342570 351585 421902 445341 486810 513855 616626 632853 703170 742235 890682 924939 1027710 1054755 1265706 1336023 1484470 1541565 1849878 2109510 2226705 2672046 3083130 3164265 4008069 4453410 4624695 6328530 6680115 8016138 9249390 12024207 13360230 20040345 24048414 40080690 60121035 120242070