Search a number
-
+
140313300 = 223524373149
BaseRepresentation
bin10000101110100…
…00001011010100
3100210000122122220
420113100023110
5241410011200
621531222340
73322433451
oct1027201324
9323018586
10140313300
1172226506
123aba79b0
13230b9b2a
14148c6828
15c4b94a0
hex85d02d4

140313300 has 144 divisors (see below), whose sum is σ = 423931200. Its totient is φ = 35804160.

The previous prime is 140313293. The next prime is 140313301. The reversal of 140313300 is 3313041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 140313300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140313301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 941626 + ... + 941774.

Almost surely, 2140313300 is an apocalyptic number.

140313300 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 140313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211965600).

140313300 is an abundant number, since it is smaller than the sum of its proper divisors (283617900).

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

140313300 is a wasteful number, since it uses less digits than its factorization.

140313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 140313300 is about 11845.3915089371. The cubic root of 140313300 is about 519.6364569439.

Adding to 140313300 its reverse (3313041), we get a palindrome (143626341).

The spelling of 140313300 in words is "one hundred forty million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 73 75 86 100 129 146 149 150 172 215 219 258 292 298 300 365 430 438 447 516 596 645 730 745 860 876 894 1075 1095 1290 1460 1490 1788 1825 2150 2190 2235 2580 2980 3139 3225 3650 3725 4300 4380 4470 5475 6278 6407 6450 7300 7450 8940 9417 10877 10950 11175 12556 12814 12900 14900 15695 18834 19221 21754 21900 22350 25628 31390 32035 32631 37668 38442 43508 44700 47085 54385 62780 64070 65262 76884 78475 94170 96105 108770 128140 130524 156950 160175 163155 188340 192210 217540 235425 271925 313900 320350 326310 384420 467711 470850 480525 543850 640700 652620 815775 935422 941700 961050 1087700 1403133 1631550 1870844 1922100 2338555 2806266 3263100 4677110 5612532 7015665 9354220 11692775 14031330 23385550 28062660 35078325 46771100 70156650 140313300