Search a number
-
+
140435968 = 291032663
BaseRepresentation
bin10000101111011…
…10001000000000
3100210020212221011
420113232020000
5241422422333
621534010304
73323454211
oct1027561000
9323225834
10140435968
11722aa692
123b046994
132313090a
1414919408
15c4e09cd
hex85ee200

140435968 has 40 divisors (see below), whose sum is σ = 283428288. Its totient is φ = 69510144.

The previous prime is 140435959. The next prime is 140435993. The reversal of 140435968 is 869534041.

140435968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1404359682 = 39444522216194048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140435968.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51405 + ... + 54067.

Almost surely, 2140435968 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 140435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141714144).

140435968 is an abundant number, since it is smaller than the sum of its proper divisors (142992320).

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

140435968 is an equidigital number, since it uses as much as digits as its factorization.

140435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2768 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 140435968 is about 11850.5682564171. The cubic root of 140435968 is about 519.7878424466.

The spelling of 140435968 in words is "one hundred forty million, four hundred thirty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 256 412 512 824 1648 2663 3296 5326 6592 10652 13184 21304 26368 42608 52736 85216 170432 274289 340864 548578 681728 1097156 1363456 2194312 4388624 8777248 17554496 35108992 70217984 140435968