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140741328 = 24372134603
BaseRepresentation
bin10000110001110…
…00101011010000
3100210211101210210
420120320223100
5242012210303
621544324120
73326165400
oct1030705320
9323741723
10140741328
1172499052
123b173640
13232098c0
1414998800
15c551203
hex8638ad0

140741328 has 120 divisors (see below), whose sum is σ = 455575008. Its totient is φ = 37110528.

The previous prime is 140741327. The next prime is 140741329. The reversal of 140741328 is 823147041.

It is an interprime number because it is at equal distance from previous prime (140741327) and next prime (140741329).

It is a junction number, because it is equal to n+sod(n) for n = 140741295 and 140741304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140741327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28275 + ... + 32877.

Almost surely, 2140741328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140741328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227787504).

140741328 is an abundant number, since it is smaller than the sum of its proper divisors (314833680).

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

140741328 is a wasteful number, since it uses less digits than its factorization.

140741328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4641 (or 4628 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 140741328 is about 11863.4450308500. The cubic root of 140741328 is about 520.1643070520.

Adding to 140741328 its reverse (823147041), we get a palindrome (963888369).

The spelling of 140741328 in words is "one hundred forty million, seven hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 4603 5096 7644 9206 10192 13809 15288 18412 27618 30576 32221 36824 55236 59839 64442 73648 96663 110472 119678 128884 179517 193326 220944 225547 239356 257768 359034 386652 418873 451094 478712 515536 676641 718068 773304 837746 902188 957424 1256619 1353282 1436136 1546608 1675492 1804376 2513238 2706564 2872272 2932111 3350984 3608752 5026476 5413128 5864222 6701968 8796333 10052952 10826256 11728444 17592666 20105904 23456888 35185332 46913776 70370664 140741328