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140401300 = 225213176353
BaseRepresentation
bin10000101111001…
…01101010010100
3100210012010101011
420113211222110
5241420320200
621533142004
73323251144
oct1027455224
9323163334
10140401300
1172286636
123b02a904
132311abc0
141490a924
15c4d55ba
hex85e5a94

140401300 has 72 divisors (see below), whose sum is σ = 347462136. Its totient is φ = 48783360.

The previous prime is 140401291. The next prime is 140401301. The reversal of 140401300 is 3104041.

It can be written as a sum of positive squares in 12 ways, for example, as 45104656 + 95296644 = 6716^2 + 9762^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140401301) 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 23 ways as a sum of consecutive naturals, for example, 18924 + ... + 25276.

It is an arithmetic number, because the mean of its divisors is an integer number (4825863).

Almost surely, 2140401300 is an apocalyptic number.

140401300 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 140401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173731068).

140401300 is an abundant number, since it is smaller than the sum of its proper divisors (207060836).

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

140401300 is a wasteful number, since it uses less digits than its factorization.

140401300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6397 (or 6390 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 140401300 is about 11849.1054514676. The cubic root of 140401300 is about 519.7450673461.

Adding to 140401300 its reverse (3104041), we get a palindrome (143505341).

The spelling of 140401300 in words is "one hundred forty million, four hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 130 170 221 260 325 340 425 442 650 850 884 1105 1300 1700 2210 4420 5525 6353 11050 12706 22100 25412 31765 63530 82589 108001 127060 158825 165178 216002 317650 330356 412945 432004 540005 635300 825890 1080010 1404013 1651780 2064725 2160020 2700025 2808026 4129450 5400050 5616052 7020065 8258900 10800100 14040130 28080260 35100325 70200650 140401300