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140342800 = 245213137197
BaseRepresentation
bin10000101110101…
…11011000010000
3100210002011010111
420113113120100
5241411432200
621532011104
73322615453
oct1027273020
9323064114
10140342800
1172246694
123b000a94
13230ca3a0
14148d349a
15c4c30ba
hex85d7610

140342800 has 120 divisors (see below), whose sum is σ = 367617096. Its totient is φ = 51179520.

The previous prime is 140342767. The next prime is 140342809. The reversal of 140342800 is 8243041.

It can be written as a sum of positive squares in 12 ways, for example, as 17842176 + 122500624 = 4224^2 + 11068^2 .

It is a super-2 number, since 2×1403428002 = 39392203023680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140342809) 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, 712302 + ... + 712498.

Almost surely, 2140342800 is an apocalyptic number.

140342800 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 140342800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183808548).

140342800 is an abundant number, since it is smaller than the sum of its proper divisors (227274296).

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

140342800 is a wasteful number, since it uses less digits than its factorization.

140342800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 140342800 is about 11846.6366534979. The cubic root of 140342800 is about 519.6728711715.

Adding to 140342800 its reverse (8243041), we get a palindrome (148585841).

The spelling of 140342800 in words is "one hundred forty million, three hundred forty-two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 137 197 200 208 260 274 325 394 400 520 548 650 685 788 985 1040 1096 1300 1370 1576 1781 1970 2192 2561 2600 2740 3152 3425 3562 3940 4925 5122 5200 5480 6850 7124 7880 8905 9850 10244 10960 12805 13700 14248 15760 17810 19700 20488 25610 26989 27400 28496 35620 39400 40976 44525 51220 53978 54800 64025 71240 78800 89050 102440 107956 128050 134945 142480 178100 204880 215912 256100 269890 350857 356200 431824 512200 539780 674725 701714 712400 1024400 1079560 1349450 1403428 1754285 2159120 2698900 2806856 3508570 5397800 5613712 7017140 8771425 10795600 14034280 17542850 28068560 35085700 70171400 140342800