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140205300 = 223522631777
BaseRepresentation
bin10000101101101…
…01110011110100
3100202211011111220
420112311303310
5241343032200
621525030340
73321503544
oct1026656364
9322734456
10140205300
1172162354
123ab553b0
132307c921
1414899324
15c4974a0
hex85b5cf4

140205300 has 72 divisors (see below), whose sum is σ = 407432256. Its totient is φ = 37224960.

The previous prime is 140205257. The next prime is 140205301. The reversal of 140205300 is 3502041.

It is a super-2 number, since 2×1402053002 = 39315052296180000, which contains 22 as substring.

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 140205300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140205301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78012 + ... + 79788.

Almost surely, 2140205300 is an apocalyptic number.

140205300 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 140205300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203716128).

140205300 is an abundant number, since it is smaller than the sum of its proper divisors (267226956).

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

140205300 is a wasteful number, since it uses less digits than its factorization.

140205300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 140205300 is about 11840.8318964505. The cubic root of 140205300 is about 519.5031002763.

Adding to 140205300 its reverse (3502041), we get a palindrome (143707341).

The spelling of 140205300 in words is "one hundred forty million, two hundred five thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 263 300 526 789 1052 1315 1578 1777 2630 3156 3554 3945 5260 5331 6575 7108 7890 8885 10662 13150 15780 17770 19725 21324 26300 26655 35540 39450 44425 53310 78900 88850 106620 133275 177700 266550 467351 533100 934702 1402053 1869404 2336755 2804106 4673510 5608212 7010265 9347020 11683775 14020530 23367550 28041060 35051325 46735100 70102650 140205300