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140248192 = 277259379
BaseRepresentation
bin10000101110000…
…00010010000000
3100202220100100111
420113000102000
5241400420232
621530001104
73322042600
oct1027002200
9322810314
10140248192
11721915a7
123ab76194
13230962c6
14148aac00
15c4a5047
hex85c0480

140248192 has 96 divisors (see below), whose sum is σ = 331398000. Its totient is φ = 58931712.

The previous prime is 140248189. The next prime is 140248193. The reversal of 140248192 is 291842041.

It is not an unprimeable number, because it can be changed into a prime (140248193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369859 + ... + 370237.

Almost surely, 2140248192 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 140248192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165699000).

140248192 is an abundant number, since it is smaller than the sum of its proper divisors (191149808).

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

140248192 is an equidigital number, since it uses as much as digits as its factorization.

140248192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 140248192 is about 11842.6429482612. The cubic root of 140248192 is about 519.5560708252.

It can be divided in two parts, 1402 and 48192, that added together give a palindrome (49594).

The spelling of 140248192 in words is "one hundred forty million, two hundred forty-eight thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 64 98 112 118 128 196 224 236 379 392 413 448 472 758 784 826 896 944 1516 1568 1652 1888 2653 2891 3032 3136 3304 3776 5306 5782 6064 6272 6608 7552 10612 11564 12128 13216 18571 21224 22361 23128 24256 26432 37142 42448 44722 46256 48512 52864 74284 84896 89444 92512 148568 156527 169792 178888 185024 297136 313054 339584 357776 370048 594272 626108 715552 1095689 1188544 1252216 1431104 2191378 2377088 2504432 2862208 4382756 5008864 8765512 10017728 17531024 20035456 35062048 70124096 140248192