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140244560 = 245171011021
BaseRepresentation
bin10000101101111…
…11011001010000
3100202220011100222
420112333121100
5241400311220
621525532212
73322026161
oct1026773120
9322804328
10140244560
11721898a5
123ab74068
1323094761
14148a9768
15c4a3e25
hex85bf650

140244560 has 80 divisors (see below), whose sum is σ = 349008912. Its totient is φ = 52224000.

The previous prime is 140244553. The next prime is 140244563. The reversal of 140244560 is 65442041.

140244560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 22391824 + 117852736 = 4732^2 + 10856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140244563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136850 + ... + 137870.

Almost surely, 2140244560 is an apocalyptic number.

140244560 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 140244560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174504456).

140244560 is an abundant number, since it is smaller than the sum of its proper divisors (208764352).

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

140244560 is a wasteful number, since it uses less digits than its factorization.

140244560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 140244560 is about 11842.4896031198. The cubic root of 140244560 is about 519.5515858145.

The spelling of 140244560 in words is "one hundred forty million, two hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 101 136 170 202 272 340 404 505 680 808 1010 1021 1360 1616 1717 2020 2042 3434 4040 4084 5105 6868 8080 8168 8585 10210 13736 16336 17170 17357 20420 27472 34340 34714 40840 68680 69428 81680 86785 103121 137360 138856 173570 206242 277712 347140 412484 515605 694280 824968 1031210 1388560 1649936 1753057 2062420 3506114 4124840 7012228 8249680 8765285 14024456 17530570 28048912 35061140 70122280 140244560