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120013020 = 223252983277
BaseRepresentation
bin1110010011101…
…00000011011100
322100211021220200
413021310003130
5221210404040
615524143500
72655044121
oct711640334
9270737820
10120013020
1161820616
1234237b90
131bb2cb2a
1411d20748
15a809630
hex72740dc

120013020 has 144 divisors (see below), whose sum is σ = 382505760. Its totient is φ = 30417408.

The previous prime is 120013009. The next prime is 120013051. The reversal of 120013020 is 20310021.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 120012993 and 120013011.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 433122 + ... + 433398.

It is an arithmetic number, because the mean of its divisors is an integer number (2656290).

Almost surely, 2120013020 is an apocalyptic number.

120013020 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 120013020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191252880).

120013020 is an abundant number, since it is smaller than the sum of its proper divisors (262492740).

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

120013020 is a wasteful number, since it uses less digits than its factorization.

120013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 120013020 is about 10955.0454129593. The cubic root of 120013020 is about 493.2602531550.

Adding to 120013020 its reverse (20310021), we get a palindrome (140323041).

The spelling of 120013020 in words is "one hundred twenty million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 83 87 90 116 145 166 174 180 249 261 277 290 332 348 415 435 498 522 554 580 747 830 831 870 996 1044 1108 1245 1305 1385 1494 1660 1662 1740 2407 2490 2493 2610 2770 2988 3324 3735 4155 4814 4980 4986 5220 5540 7221 7470 8033 8310 9628 9972 12035 12465 14442 14940 16066 16620 21663 22991 24070 24099 24930 28884 32132 36105 40165 43326 45982 48140 48198 49860 68973 72210 72297 80330 86652 91964 96396 108315 114955 120495 137946 144420 144594 160660 206919 216630 229910 240990 275892 289188 344865 361485 413838 433260 459820 481980 666739 689730 722970 827676 1034595 1333478 1379460 1445940 2000217 2069190 2666956 3333695 4000434 4138380 6000651 6667390 8000868 10001085 12001302 13334780 20002170 24002604 30003255 40004340 60006510 120013020