Search a number
-
+
140450520 = 23357374519
BaseRepresentation
bin10000101111100…
…01101011011000
3100210021121220010
420113301223120
5241423404040
621534201520
73323544510
oct1027615330
9323247803
10140450520
117230a611
123b0532a0
1323137422
1414920840
15c4e4e80
hex85f1ad8

140450520 has 128 divisors (see below), whose sum is σ = 494668800. Its totient is φ = 31228416.

The previous prime is 140450437. The next prime is 140450521. The reversal of 140450520 is 25054041.

140450520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140450521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28821 + ... + 33339.

It is an arithmetic number, because the mean of its divisors is an integer number (3864600).

Almost surely, 2140450520 is an apocalyptic number.

140450520 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 140450520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247334400).

140450520 is an abundant number, since it is smaller than the sum of its proper divisors (354218280).

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

140450520 is a wasteful number, since it uses less digits than its factorization.

140450520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4573 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 140450520 is about 11851.1822195087. The cubic root of 140450520 is about 519.8057953294.

The spelling of 140450520 in words is "one hundred forty million, four hundred fifty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 4519 5180 6216 7770 9038 10360 13557 15540 18076 22595 27114 31080 31633 36152 45190 54228 63266 67785 90380 94899 108456 126532 135570 158165 167203 180760 189798 253064 271140 316330 334406 379596 474495 501609 542280 632660 668812 759192 836015 948990 1003218 1170421 1265320 1337624 1672030 1897980 2006436 2340842 2508045 3344060 3511263 3795960 4012872 4681684 5016090 5852105 6688120 7022526 9363368 10032180 11704210 14045052 17556315 20064360 23408420 28090104 35112630 46816840 70225260 140450520