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120204240 = 24351359653
BaseRepresentation
bin1110010101000…
…10101111010000
322101012000012220
413022202233100
5221233013430
615532221040
72656501452
oct712425720
9271160186
10120204240
1161941252
123430a780
131bb98b90
1411d702d2
15a846110
hex72a2bd0

120204240 has 160 divisors (see below), whose sum is σ = 408723840. Its totient is φ = 29042688.

The previous prime is 120204199. The next prime is 120204247. The reversal of 120204240 is 42402021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120204247) 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, 183754 + ... + 184406.

It is an arithmetic number, because the mean of its divisors is an integer number (2554524).

Almost surely, 2120204240 is an apocalyptic number.

120204240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120204240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204361920).

120204240 is an abundant number, since it is smaller than the sum of its proper divisors (288519600).

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

120204240 is a wasteful number, since it uses less digits than its factorization.

120204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 120204240 is about 10963.7694247918. The cubic root of 120204240 is about 493.5220891209.

Adding to 120204240 its reverse (42402021), we get a palindrome (162606261).

The spelling of 120204240 in words is "one hundred twenty million, two hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 59 60 65 78 80 104 118 120 130 156 177 195 208 236 240 260 295 312 354 390 472 520 590 624 653 708 767 780 885 944 1040 1180 1306 1416 1534 1560 1770 1959 2301 2360 2612 2832 3068 3120 3265 3540 3835 3918 4602 4720 5224 6136 6530 7080 7670 7836 8489 9204 9795 10448 11505 12272 13060 14160 15340 15672 16978 18408 19590 23010 25467 26120 30680 31344 33956 36816 38527 39180 42445 46020 50934 52240 61360 67912 77054 78360 84890 92040 101868 115581 127335 135824 154108 156720 169780 184080 192635 203736 231162 254670 308216 339560 385270 407472 462324 500851 509340 577905 616432 679120 770540 924648 1001702 1018680 1155810 1502553 1541080 1849296 2003404 2037360 2311620 2504255 3005106 3082160 4006808 4623240 5008510 6010212 7512765 8013616 9246480 10017020 12020424 15025530 20034040 24040848 30051060 40068080 60102120 120204240