Search a number
-
+
140784896 = 287251313
BaseRepresentation
bin10000110010000…
…11010100000000
3100210220121120102
420121003110000
5242020104041
621545301532
73326436410
oct1031032400
9323817512
10140784896
117251885a
123b1948a8
1323223695
14149aa640
15c55e09b
hex8643500

140784896 has 72 divisors (see below), whose sum is σ = 323475264. Its totient is φ = 59904000.

The previous prime is 140784887. The next prime is 140784901. The reversal of 140784896 is 698487041.

140784896 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-3 number, since 3×1407848963 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 140784896.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 449636 + ... + 449948.

It is an arithmetic number, because the mean of its divisors is an integer number (4492712).

Almost surely, 2140784896 is an apocalyptic number.

140784896 is a gapful number since it is divisible by the number (16) 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 140784896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161737632).

140784896 is an abundant number, since it is smaller than the sum of its proper divisors (182690368).

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

140784896 is an equidigital number, since it uses as much as digits as its factorization.

140784896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 140784896 is about 11865.2811176137. The cubic root of 140784896 is about 520.2179756765.

The spelling of 140784896 in words is "one hundred forty million, seven hundred eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 251 256 313 448 502 626 896 1004 1252 1757 1792 2008 2191 2504 3514 4016 4382 5008 7028 8032 8764 10016 14056 16064 17528 20032 28112 32128 35056 40064 56224 64256 70112 78563 80128 112448 140224 157126 224896 280448 314252 449792 549941 560896 628504 1099882 1257008 2199764 2514016 4399528 5028032 8799056 10056064 17598112 20112128 35196224 70392448 140784896