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120013140 = 223513251613
BaseRepresentation
bin1110010011101…
…00000101010100
322100211022002010
413021310011110
5221210410030
615524144220
72655044352
oct711640524
9270738063
10120013140
1161820715
1234238070
131bb2cbc0
1411d207d2
15a8096b0
hex7274154

120013140 has 96 divisors (see below), whose sum is σ = 363920256. Its totient is φ = 29376000.

The previous prime is 120013111. The next prime is 120013141. The reversal of 120013140 is 41310021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120013141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195474 + ... + 196086.

It is an arithmetic number, because the mean of its divisors is an integer number (3790836).

Almost surely, 2120013140 is an apocalyptic number.

120013140 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 120013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181960128).

120013140 is an abundant number, since it is smaller than the sum of its proper divisors (243907116).

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

120013140 is a wasteful number, since it uses less digits than its factorization.

120013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 120013140 is about 10955.0508898864. The cubic root of 120013140 is about 493.2604175572.

Adding to 120013140 its reverse (41310021), we get a palindrome (161323161).

The spelling of 120013140 in words is "one hundred twenty million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 251 260 390 502 613 753 780 1004 1226 1255 1506 1839 2452 2510 3012 3065 3263 3678 3765 5020 6130 6526 7356 7530 7969 9195 9789 12260 13052 15060 15938 16315 18390 19578 23907 31876 32630 36780 39156 39845 47814 48945 65260 79690 95628 97890 119535 153863 159380 195780 239070 307726 461589 478140 615452 769315 923178 1538630 1846356 2000219 2307945 3077260 4000438 4615890 6000657 8000876 9231780 10001095 12001314 20002190 24002628 30003285 40004380 60006570 120013140