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140241120 = 25352312703
BaseRepresentation
bin10000101101111…
…10100011100000
3100202212222122120
420112332203200
5241400203440
621525504240
73322013145
oct1026764340
9322788576
10140241120
1172187258
123ab72080
1323093016
14148a83cc
15c4a2dd0
hex85be8e0

140241120 has 96 divisors (see below), whose sum is σ = 461002752. Its totient is φ = 35768832.

The previous prime is 140241119. The next prime is 140241139. The reversal of 140241120 is 21142041.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 140241120.

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 15 ways as a sum of consecutive naturals, for example, 4689 + ... + 17391.

It is an arithmetic number, because the mean of its divisors is an integer number (4802112).

Almost surely, 2140241120 is an apocalyptic number.

140241120 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 140241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230501376).

140241120 is an abundant number, since it is smaller than the sum of its proper divisors (320761632).

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

140241120 is a wasteful number, since it uses less digits than its factorization.

140241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12744 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 140241120 is about 11842.3443624985. The cubic root of 140241120 is about 519.5473378254.

Adding to 140241120 its reverse (21142041), we get a palindrome (161383161).

The spelling of 140241120 in words is "one hundred forty million, two hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 12703 25406 38109 50812 63515 76218 101624 127030 152436 190545 203248 254060 292169 304872 381090 406496 508120 584338 609744 762180 876507 1016240 1168676 1219488 1460845 1524360 1753014 2032480 2337352 2921690 3048720 3506028 4382535 4674704 5843380 6097440 7012056 8765070 9349408 11686760 14024112 17530140 23373520 28048224 35060280 46747040 70120560 140241120