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120145140 = 22335271821
BaseRepresentation
bin1110010100101…
…00010011110100
322101002000011000
413022110103310
5221224121030
615531043300
72656134243
oct712242364
9271060130
10120145140
1161900905
12342a0530
131bb77ccb
1411d5695a
15a833860
hex72944f4

120145140 has 96 divisors (see below), whose sum is σ = 375621120. Its totient is φ = 31881600.

The previous prime is 120145133. The next prime is 120145147. The reversal of 120145140 is 41541021.

It is an interprime number because it is at equal distance from previous prime (120145133) and next prime (120145147).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120145147) 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, 145930 + ... + 146750.

It is an arithmetic number, because the mean of its divisors is an integer number (3912720).

Almost surely, 2120145140 is an apocalyptic number.

120145140 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 120145140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187810560).

120145140 is an abundant number, since it is smaller than the sum of its proper divisors (255475980).

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

120145140 is a wasteful number, since it uses less digits than its factorization.

120145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 120145140 is about 10961.0738525019. The cubic root of 120145140 is about 493.4411936469.

Adding to 120145140 its reverse (41541021), we get a palindrome (161686161).

The spelling of 120145140 in words is "one hundred twenty million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 271 540 542 813 821 1084 1355 1626 1642 2439 2463 2710 3252 3284 4065 4105 4878 4926 5420 7317 7389 8130 8210 9756 9852 12195 12315 14634 14778 16260 16420 22167 24390 24630 29268 29556 36585 36945 44334 48780 49260 73170 73890 88668 110835 146340 147780 221670 222491 443340 444982 667473 889964 1112455 1334946 2002419 2224910 2669892 3337365 4004838 4449820 6007257 6674730 8009676 10012095 12014514 13349460 20024190 24029028 30036285 40048380 60072570 120145140