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140069440 = 265728933
BaseRepresentation
bin10000101100101…
…00101001000000
3100202120021011001
420112110221000
5241324210230
621522101344
73320366500
oct1026245100
9322507131
10140069440
117207a275
123aaaa854
1323032b34
1414861a00
15c46c0ca
hex8594a40

140069440 has 84 divisors (see below), whose sum is σ = 388039356. Its totient is φ = 48018432.

The previous prime is 140069437. The next prime is 140069467. The reversal of 140069440 is 44960041.

It can be written as a sum of positive squares in 2 ways, for example, as 42928704 + 97140736 = 6552^2 + 9856^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 140069399 and 140069408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11214 + ... + 20146.

Almost surely, 2140069440 is an apocalyptic number.

140069440 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 140069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194019678).

140069440 is an abundant number, since it is smaller than the sum of its proper divisors (247969916).

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

140069440 is an equidigital number, since it uses as much as digits as its factorization.

140069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964 (or 8947 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 140069440 is about 11835.0935779993. The cubic root of 140069440 is about 519.3352452311.

The spelling of 140069440 in words is "one hundred forty million, sixty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 8933 15680 17866 35732 44665 62531 71464 89330 125062 142928 178660 250124 285856 312655 357320 437717 500248 571712 625310 714640 875434 1000496 1250620 1429280 1750868 2000992 2188585 2501240 2858560 3501736 4001984 4377170 5002480 7003472 8754340 10004960 14006944 17508680 20009920 28013888 35017360 70034720 140069440