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140963040 = 25325531847
BaseRepresentation
bin10000110011011…
…10110011100000
3100211020122221100
420121232303200
5242041304130
621553154400
73331110651
oct1031566340
9324218840
10140963040
117262a689
123b25ba00
13232867aa
1414a15528
15c596c60
hex866ece0

140963040 has 144 divisors (see below), whose sum is σ = 490377888. Its totient is φ = 36860928.

The previous prime is 140963029. The next prime is 140963047. The reversal of 140963040 is 40369041.

140963040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 140962995 and 140963013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140963047) 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, 75397 + ... + 77243.

It is an arithmetic number, because the mean of its divisors is an integer number (3405402).

Almost surely, 2140963040 is an apocalyptic number.

140963040 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 140963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245188944).

140963040 is an abundant number, since it is smaller than the sum of its proper divisors (349414848).

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

140963040 is a wasteful number, since it uses less digits than its factorization.

140963040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 140963040 is about 11872.7856882873. The cubic root of 140963040 is about 520.4373047203.

The spelling of 140963040 in words is "one hundred forty million, nine hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 53 60 72 80 90 96 106 120 144 159 160 180 212 240 265 288 318 360 424 477 480 530 636 720 795 848 954 1060 1272 1440 1590 1696 1847 1908 2120 2385 2544 3180 3694 3816 4240 4770 5088 5541 6360 7388 7632 8480 9235 9540 11082 12720 14776 15264 16623 18470 19080 22164 25440 27705 29552 33246 36940 38160 44328 55410 59104 66492 73880 76320 83115 88656 97891 110820 132984 147760 166230 177312 195782 221640 265968 293673 295520 332460 391564 443280 489455 531936 587346 664920 783128 881019 886560 978910 1174692 1329840 1468365 1566256 1762038 1957820 2349384 2659680 2936730 3132512 3524076 3915640 4405095 4698768 5873460 7048152 7831280 8810190 9397536 11746920 14096304 15662560 17620380 23493840 28192608 35240760 46987680 70481520 140963040