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140011300 = 225211139791
BaseRepresentation
bin10000101100001…
…10011100100100
3100202110022101201
420112012130210
5241320330200
621520532244
73320035132
oct1026063444
9322408351
10140011300
117203a620
123aa81084
1323012530
1414848752
15c459c6a
hex8586724

140011300 has 72 divisors (see below), whose sum is σ = 356977152. Its totient is φ = 46992000.

The previous prime is 140011279. The next prime is 140011301. The reversal of 140011300 is 3110041.

140011300 = 1123 + 1133 + ... + 1633.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (140011301) 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 23 ways as a sum of consecutive naturals, for example, 9405 + ... + 19195.

It is an arithmetic number, because the mean of its divisors is an integer number (4958016).

Almost surely, 2140011300 is an apocalyptic number.

140011300 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 140011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576).

140011300 is an abundant number, since it is smaller than the sum of its proper divisors (216965852).

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

140011300 is a wasteful number, since it uses less digits than its factorization.

140011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 140011300 is about 11832.6370687180. The cubic root of 140011300 is about 519.2633800910.

Adding to 140011300 its reverse (3110041), we get a palindrome (143121341).

The spelling of 140011300 in words is "one hundred forty million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 9791 14300 19582 39164 48955 97910 107701 127283 195820 215402 244775 254566 430804 489550 509132 538505 636415 979100 1077010 1272830 1400113 2154020 2545660 2692525 2800226 3182075 5385050 5600452 6364150 7000565 10770100 12728300 14001130 28002260 35002825 70005650 140011300