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140810432 = 2673110139
BaseRepresentation
bin10000110010010…
…01100011000000
3100210221220121012
420121021203000
5242021413212
621550020052
73326604020
oct1031114300
9323856535
10140810432
1172535a64
123b1a7628
13232321a9
14149b5a80
15c566922
hex86498c0

140810432 has 56 divisors (see below), whose sum is σ = 329671680. Its totient is φ = 58394880.

The previous prime is 140810431. The next prime is 140810437. The reversal of 140810432 is 234018041.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 140810398 and 140810407.

It is not an unprimeable number, because it can be changed into a prime (140810431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8819 + ... + 18957.

Almost surely, 2140810432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164835840).

140810432 is an abundant number, since it is smaller than the sum of its proper divisors (188861248).

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

140810432 is a wasteful number, since it uses less digits than its factorization.

140810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 140810432 is about 11866.3571495215. The cubic root of 140810432 is about 520.2494266903.

Adding to 140810432 its reverse (234018041), we get a palindrome (374828473).

The spelling of 140810432 in words is "one hundred forty million, eight hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3472 6944 10139 13888 20278 40556 70973 81112 141946 162224 283892 314309 324448 567784 628618 648896 1135568 1257236 2200163 2271136 2514472 4400326 4542272 5028944 8800652 10057888 17601304 20115776 35202608 70405216 140810432