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140133020 = 22523312317
BaseRepresentation
bin10000101101001…
…00001010011100
3100202200111100212
420112210022130
5241333224040
621523311552
73321053036
oct1026441234
9322614325
10140133020
1172113015
123ab1b5b8
1323055a61
141487ac56
15c480d65
hex85a429c

140133020 has 72 divisors (see below), whose sum is σ = 318300192. Its totient is φ = 51722880.

The previous prime is 140133013. The next prime is 140133029. The reversal of 140133020 is 20331041.

It is a junction number, because it is equal to n+sod(n) for n = 140132986 and 140133004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140133029) 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, 441902 + ... + 442218.

It is an arithmetic number, because the mean of its divisors is an integer number (4420836).

Almost surely, 2140133020 is an apocalyptic number.

140133020 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 140133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159150096).

140133020 is an abundant number, since it is smaller than the sum of its proper divisors (178167172).

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

140133020 is a wasteful number, since it uses less digits than its factorization.

140133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 140133020 is about 11837.7793525644. The cubic root of 140133020 is about 519.4138118338.

Adding to 140133020 its reverse (20331041), we get a palindrome (160464061).

The spelling of 140133020 in words is "one hundred forty million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 317 460 620 634 713 961 1268 1426 1585 1922 2852 3170 3565 3844 4805 6340 7130 7291 9610 9827 14260 14582 19220 19654 22103 29164 36455 39308 44206 49135 72910 88412 98270 110515 145820 196540 221030 226021 304637 442060 452042 609274 904084 1130105 1218548 1523185 2260210 3046370 4520420 6092740 7006651 14013302 28026604 35033255 70066510 140133020