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140357520 = 243251511291
BaseRepresentation
bin10000101110110…
…10111110010000
3100210002220022200
420113122332100
5241412420040
621532203200
73323006412
oct1027327620
9323086280
10140357520
1172256756
123b009500
1323103cb4
14148d89b2
15c4c7630
hex85daf90

140357520 has 120 divisors (see below), whose sum is σ = 474856512. Its totient is φ = 37152000.

The previous prime is 140357509. The next prime is 140357521. The reversal of 140357520 is 25753041.

It is a happy number.

140357520 is digitally balanced in base 2, 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 (120).

It is not an unprimeable number, because it can be changed into a prime (140357521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108075 + ... + 109365.

Almost surely, 2140357520 is an apocalyptic number.

140357520 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 140357520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237428256).

140357520 is an abundant number, since it is smaller than the sum of its proper divisors (334498992).

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

140357520 is a wasteful number, since it uses less digits than its factorization.

140357520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 140357520 is about 11847.2579105884. The cubic root of 140357520 is about 519.6910393455.

The spelling of 140357520 in words is "one hundred forty million, three hundred fifty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 151 180 240 302 360 453 604 720 755 906 1208 1291 1359 1510 1812 2265 2416 2582 2718 3020 3624 3873 4530 5164 5436 6040 6455 6795 7248 7746 9060 10328 10872 11619 12080 12910 13590 15492 18120 19365 20656 21744 23238 25820 27180 30984 36240 38730 46476 51640 54360 58095 61968 77460 92952 103280 108720 116190 154920 185904 194941 232380 309840 389882 464760 584823 779764 929520 974705 1169646 1559528 1754469 1949410 2339292 2924115 3119056 3508938 3898820 4678584 5848230 7017876 7797640 8772345 9357168 11696460 14035752 15595280 17544690 23392920 28071504 35089380 46785840 70178760 140357520