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140320008 = 23324361743
BaseRepresentation
bin10000101110100…
…01110100001000
3100210000222212100
420113101310020
5241410220013
621531313400
73322462143
oct1027216410
9323028770
10140320008
1172230554
123abab860
13230bcbba
14148c905a
15c4bb473
hex85d1d08

140320008 has 96 divisors (see below), whose sum is σ = 395778240. Its totient is φ = 44876160.

The previous prime is 140320001. The next prime is 140320039. The reversal of 140320008 is 800023041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (140320001) 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, 188485 + ... + 189227.

It is an arithmetic number, because the mean of its divisors is an integer number (4122690).

Almost surely, 2140320008 is an apocalyptic number.

140320008 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 140320008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197889120).

140320008 is an abundant number, since it is smaller than the sum of its proper divisors (255458232).

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

140320008 is a wasteful number, since it uses less digits than its factorization.

140320008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 140320008 is about 11845.6746536447. The cubic root of 140320008 is about 519.6447376173.

Adding to 140320008 its reverse (800023041), we get a palindrome (940343049).

The spelling of 140320008 in words is "one hundred forty million, three hundred twenty thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 61 72 86 122 129 172 183 244 258 344 366 387 488 516 549 732 743 774 1032 1098 1464 1486 1548 2196 2229 2623 2972 3096 4392 4458 5246 5944 6687 7869 8916 10492 13374 15738 17832 20984 23607 26748 31476 31949 45323 47214 53496 62952 63898 90646 94428 95847 127796 135969 181292 188856 191694 255592 271938 287541 362584 383388 407907 543876 575082 766776 815814 1087752 1150164 1631628 1948889 2300328 3263256 3897778 5846667 7795556 11693334 15591112 17540001 23386668 35080002 46773336 70160004 140320008