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140321024 = 282941461
BaseRepresentation
bin10000101110100…
…10000100000000
3100210001001020222
420113102010000
5241410233044
621531322212
73322465124
oct1027220400
9323031228
10140321024
1172231298
123abb0368
13230c04bc
14148c9584
15c4bb8ee
hex85d2100

140321024 has 72 divisors (see below), whose sum is σ = 297463320. Its totient is φ = 65945600.

The previous prime is 140321021. The next prime is 140321081. The reversal of 140321024 is 420123041.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 140185600 = 368^2 + 11840^2 .

It is a junction number, because it is equal to n+sod(n) for n = 140320993 and 140321011.

It is not an unprimeable number, because it can be changed into a prime (140321021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304154 + ... + 304614.

It is an arithmetic number, because the mean of its divisors is an integer number (4131435).

Almost surely, 2140321024 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 140321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148731660).

140321024 is an abundant number, since it is smaller than the sum of its proper divisors (157142296).

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

140321024 is an equidigital number, since it uses as much as digits as its factorization.

140321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 140321024 is about 11845.7175384187. The cubic root of 140321024 is about 519.6459917928.

Adding to 140321024 its reverse (420123041), we get a palindrome (560444065).

The spelling of 140321024 in words is "one hundred forty million, three hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 256 328 461 464 656 922 928 1189 1312 1844 1856 2378 2624 3688 3712 4756 5248 7376 7424 9512 10496 13369 14752 18901 19024 26738 29504 37802 38048 53476 59008 75604 76096 106952 118016 151208 152192 213904 302416 304384 427808 548129 604832 855616 1096258 1209664 1711232 2192516 2419328 3422464 4385032 4838656 8770064 17540128 35080256 70160512 140321024