Search a number
-
+
140743120 = 2457972591
BaseRepresentation
bin10000110001110…
…01000111010000
3100210211111021011
420120321013100
5242012234440
621544340304
73326203540
oct1030710720
9323744234
10140743120
117249a431
123b174694
132320a66b
1414999320
15c5519ea
hex86391d0

140743120 has 80 divisors (see below), whose sum is σ = 377975808. Its totient is φ = 47738880.

The previous prime is 140743093. The next prime is 140743139. The reversal of 140743120 is 21347041.

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

It is a junction number, because it is equal to n+sod(n) for n = 140743091 and 140743100.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53025 + ... + 55615.

Almost surely, 2140743120 is an apocalyptic number.

140743120 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 140743120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904).

140743120 is an abundant number, since it is smaller than the sum of its proper divisors (237232688).

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

140743120 is a wasteful number, since it uses less digits than its factorization.

140743120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 140743120 is about 11863.5205567319. The cubic root of 140743120 is about 520.1665147202.

The spelling of 140743120 in words is "one hundred forty million, seven hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 97 112 140 194 280 388 485 560 679 776 970 1358 1552 1940 2591 2716 3395 3880 5182 5432 6790 7760 10364 10864 12955 13580 18137 20728 25910 27160 36274 41456 51820 54320 72548 90685 103640 145096 181370 207280 251327 290192 362740 502654 725480 1005308 1256635 1450960 1759289 2010616 2513270 3518578 4021232 5026540 7037156 8796445 10053080 14074312 17592890 20106160 28148624 35185780 70371560 140743120