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140325840 = 24325316287
BaseRepresentation
bin10000101110100…
…11001111010000
3100210001021212100
420113103033100
5241410411330
621531400400
73322515144
oct1027231720
9323037770
10140325840
1172234976
123abb3100
13230c2755
14148cb224
15c4bd060
hex85d33d0

140325840 has 120 divisors (see below), whose sum is σ = 486540288. Its totient is φ = 36207360.

The previous prime is 140325839. The next prime is 140325841. The reversal of 140325840 is 48523041.

140325840 is a `hidden beast` number, since 1 + 403 + 258 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (140325839) and next prime (140325841).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140325841) 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 23 ways as a sum of consecutive naturals, for example, 19177 + ... + 25463.

Almost surely, 2140325840 is an apocalyptic number.

140325840 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 140325840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243270144).

140325840 is an abundant number, since it is smaller than the sum of its proper divisors (346214448).

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

140325840 is a wasteful number, since it uses less digits than its factorization.

140325840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6337 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 140325840 is about 11845.9208168888. The cubic root of 140325840 is about 519.6519367002.

Adding to 140325840 its reverse (48523041), we get a palindrome (188848881).

The spelling of 140325840 in words is "one hundred forty million, three hundred twenty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 6287 7440 11160 12574 18861 22320 25148 31435 37722 50296 56583 62870 75444 94305 100592 113166 125740 150888 188610 194897 226332 251480 282915 301776 377220 389794 452664 502960 565830 584691 754440 779588 905328 974485 1131660 1169382 1508880 1559176 1754073 1948970 2263320 2338764 2923455 3118352 3508146 3897940 4526640 4677528 5846910 7016292 7795880 8770365 9355056 11693820 14032584 15591760 17540730 23387640 28065168 35081460 46775280 70162920 140325840