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140404500 = 22325341761
BaseRepresentation
bin10000101111001…
…10011100010100
3100210012021202200
420113212130110
5241420421000
621533204500
73323263365
oct1027463424
9323167680
10140404500
1172288a85
123b030730
132311c4b2
141490bb6c
15c4d6500
hex85e6714

140404500 has 144 divisors (see below), whose sum is σ = 454328784. Its totient is φ = 36480000.

The previous prime is 140404499. The next prime is 140404501. The reversal of 140404500 is 5404041.

It is an interprime number because it is at equal distance from previous prime (140404499) and next prime (140404501).

It can be written as a sum of positive squares in 8 ways, for example, as 126832644 + 13571856 = 11262^2 + 3684^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140404501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184120 + ... + 184880.

It is an arithmetic number, because the mean of its divisors is an integer number (3155061).

Almost surely, 2140404500 is an apocalyptic number.

140404500 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 140404500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227164392).

140404500 is an abundant number, since it is smaller than the sum of its proper divisors (313924284).

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

140404500 is a wasteful number, since it uses less digits than its factorization.

140404500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 140404500 is about 11849.2404819887. The cubic root of 140404500 is about 519.7490159600.

Adding to 140404500 its reverse (5404041), we get a palindrome (145808541).

The spelling of 140404500 in words is "one hundred forty million, four hundred four thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 125 150 164 180 205 225 246 250 300 369 375 410 450 492 500 615 738 750 761 820 900 1025 1125 1230 1476 1500 1522 1845 2050 2250 2283 2460 3044 3075 3690 3805 4100 4500 4566 5125 6150 6849 7380 7610 9132 9225 10250 11415 12300 13698 15220 15375 18450 19025 20500 22830 27396 30750 31201 34245 36900 38050 45660 46125 57075 61500 62402 68490 76100 92250 93603 95125 114150 124804 136980 156005 171225 184500 187206 190250 228300 280809 285375 312010 342450 374412 380500 468015 561618 570750 624020 684900 780025 856125 936030 1123236 1141500 1404045 1560050 1712250 1872060 2340075 2808090 3120100 3424500 3900125 4680150 5616180 7020225 7800250 9360300 11700375 14040450 15600500 23400750 28080900 35101125 46801500 70202250 140404500