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140437728 = 2532895479
BaseRepresentation
bin10000101111011…
…10100011100000
3100210020222100100
420113232203200
5241423001403
621534022400
73323462304
oct1027564340
9323228310
10140437728
1172300a42
123b047a00
1323131662
1414919d04
15c4e12a3
hex85ee8e0

140437728 has 72 divisors (see below), whose sum is σ = 403930800. Its totient is φ = 46278144.

The previous prime is 140437727. The next prime is 140437729. The reversal of 140437728 is 827734041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140437727) and next prime (140437729).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140437692 and 140437701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140437723) 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 11 ways as a sum of consecutive naturals, for example, 22893 + ... + 28371.

It is an arithmetic number, because the mean of its divisors is an integer number (5610150).

Almost surely, 2140437728 is an apocalyptic number.

140437728 is a gapful number since it is divisible by the number (18) 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 140437728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201965400).

140437728 is an abundant number, since it is smaller than the sum of its proper divisors (263493072).

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

140437728 is a wasteful number, since it uses less digits than its factorization.

140437728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5573 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 140437728 is about 11850.6425142268. The cubic root of 140437728 is about 519.7900138342.

The spelling of 140437728 in words is "one hundred forty million, four hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 89 96 144 178 267 288 356 534 712 801 1068 1424 1602 2136 2848 3204 4272 5479 6408 8544 10958 12816 16437 21916 25632 32874 43832 49311 65748 87664 98622 131496 175328 197244 262992 394488 487631 525984 788976 975262 1462893 1577952 1950524 2925786 3901048 4388679 5851572 7802096 8777358 11703144 15604192 17554716 23406288 35109432 46812576 70218864 140437728