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140104032 = 2532296373
BaseRepresentation
bin10000101100111…
…01000101100000
3100202122000121020
420112131011200
5241331312112
621522525440
73320602365
oct1026350540
9322560536
10140104032
11720a3262
123ab06880
13230457c3
141487046c
15c47748c
hex859d160

140104032 has 48 divisors (see below), whose sum is σ = 369437040. Its totient is φ = 46490112.

The previous prime is 140104031. The next prime is 140104037. The reversal of 140104032 is 230401041.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140104031) 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 7 ways as a sum of consecutive naturals, for example, 18798 + ... + 25170.

It is an arithmetic number, because the mean of its divisors is an integer number (7696605).

Almost surely, 2140104032 is an apocalyptic number.

140104032 is a gapful number since it is divisible by the number (12) 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 140104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184718520).

140104032 is an abundant number, since it is smaller than the sum of its proper divisors (229333008).

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

140104032 is a wasteful number, since it uses less digits than its factorization.

140104032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615 (or 6607 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 140104032 is about 11836.5549041940. The cubic root of 140104032 is about 519.3779939471.

Adding to 140104032 its reverse (230401041), we get a palindrome (370505073).

The spelling of 140104032 in words is "one hundred forty million, one hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1374 1832 2748 3664 5496 6373 7328 10992 12746 19119 21984 25492 38238 50984 76476 101968 152952 203936 305904 611808 1459417 2918834 4378251 5837668 8756502 11675336 17513004 23350672 35026008 46701344 70052016 140104032