Search a number
-
+
140008032 = 2532486139
BaseRepresentation
bin10000101100001…
…01101001100000
3100202110010220200
420112011221200
5241320224112
621520505200
73320022453
oct1026055140
9322403820
10140008032
117203811a
123aa7b200
1323010bb8
141484749a
15c458cdc
hex8585a60

140008032 has 36 divisors (see below), whose sum is σ = 398148660. Its totient is φ = 46669248.

The previous prime is 140008031. The next prime is 140008049. The reversal of 140008032 is 230800041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 140007996 and 140008014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140008031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 242782 + ... + 243357.

It is an arithmetic number, because the mean of its divisors is an integer number (11059685).

Almost surely, 2140008032 is an apocalyptic number.

140008032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140008032 is an abundant number, since it is smaller than the sum of its proper divisors (258140628).

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

140008032 is a wasteful number, since it uses less digits than its factorization.

140008032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486155 (or 486144 counting only the distinct ones).

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

The square root of 140008032 is about 11832.4989752799. The cubic root of 140008032 is about 519.2593400220.

Adding to 140008032 its reverse (230800041), we get a palindrome (370808073).

The spelling of 140008032 in words is "one hundred forty million, eight thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 486139 972278 1458417 1944556 2916834 3889112 4375251 5833668 7778224 8750502 11667336 15556448 17501004 23334672 35002008 46669344 70004016 140008032