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140056140 = 22357312347
BaseRepresentation
bin10000101100100…
…01011001001100
3100202112120220110
420112101121030
5241323244030
621521520020
73320312640
oct1026213114
9322476813
10140056140
1172070284
123aaa3010
1323029a73
141485ac20
15c4681b0
hex859164c

140056140 has 144 divisors (see below), whose sum is σ = 464438016. Its totient is φ = 30890880.

The previous prime is 140056139. The next prime is 140056141. The reversal of 140056140 is 41650041.

140056140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (140056139) and next prime (140056141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (140056141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403447 + ... + 403793.

It is an arithmetic number, because the mean of its divisors is an integer number (3225264).

Almost surely, 2140056140 is an apocalyptic number.

140056140 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 140056140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232219008).

140056140 is an abundant number, since it is smaller than the sum of its proper divisors (324381876).

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

140056140 is a wasteful number, since it uses less digits than its factorization.

140056140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 140056140 is about 11834.5316764120. The cubic root of 140056140 is about 519.3188072477.

The spelling of 140056140 in words is "one hundred forty million, fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 31 35 42 60 62 70 84 93 105 124 140 155 186 210 217 310 347 372 420 434 465 620 651 694 868 930 961 1041 1085 1302 1388 1735 1860 1922 2082 2170 2429 2604 2883 3255 3470 3844 4164 4340 4805 4858 5205 5766 6510 6727 6940 7287 9610 9716 10410 10757 11532 12145 13020 13454 14415 14574 19220 20181 20820 21514 24290 26908 28830 29148 32271 33635 36435 40362 43028 48580 53785 57660 64542 67270 72870 75299 80724 100905 107570 129084 134540 145740 150598 161355 201810 215140 225897 301196 322710 333467 376495 403620 451794 645420 666934 752990 903588 1000401 1129485 1333868 1505980 1667335 2000802 2258970 2334269 3334670 4001604 4517940 4668538 5002005 6669340 7002807 9337076 10004010 11671345 14005614 20008020 23342690 28011228 35014035 46685380 70028070 140056140