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140501000 = 23531091289
BaseRepresentation
bin10000101111111…
…10000000001000
3100210101012010202
420113332000020
5241432013000
621535231332
73324144623
oct1027760010
9323335122
10140501000
1172344532
123b078548
13231543b3
1414934dba
15c504dd5
hex85fe008

140501000 has 64 divisors (see below), whose sum is σ = 332046000. Its totient is φ = 55641600.

The previous prime is 140500981. The next prime is 140501003. The reversal of 140501000 is 105041.

It can be written as a sum of positive squares in 8 ways, for example, as 26481316 + 114019684 = 5146^2 + 10678^2 .

It is not an unprimeable number, because it can be changed into a prime (140501003) 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 15 ways as a sum of consecutive naturals, for example, 108356 + ... + 109644.

Almost surely, 2140501000 is an apocalyptic number.

140501000 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 140501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166023000).

140501000 is an abundant number, since it is smaller than the sum of its proper divisors (191545000).

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

140501000 is a wasteful number, since it uses less digits than its factorization.

140501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 140501000 is about 11853.3117735087. The cubic root of 140501000 is about 519.8680631741.

Adding to 140501000 its reverse (105041), we get a palindrome (140606041).

The spelling of 140501000 in words is "one hundred forty million, five hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 125 200 218 250 436 500 545 872 1000 1090 1289 2180 2578 2725 4360 5156 5450 6445 10312 10900 12890 13625 21800 25780 27250 32225 51560 54500 64450 109000 128900 140501 161125 257800 281002 322250 562004 644500 702505 1124008 1289000 1405010 2810020 3512525 5620040 7025050 14050100 17562625 28100200 35125250 70250500 140501000