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140468608 = 277211743
BaseRepresentation
bin10000101111101…
…10000110000000
3100210022112201001
420113312012000
5241424443413
621534421344
73323651320
oct1027660600
9323275631
10140468608
1172322165
123b061854
1323142727
1414927280
15c4ea4dd
hex85f6180

140468608 has 64 divisors (see below), whose sum is σ = 321765120. Its totient is φ = 59834880.

The previous prime is 140468593. The next prime is 140468609. The reversal of 140468608 is 806864041.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140468609) 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, 188685 + ... + 189427.

It is an arithmetic number, because the mean of its divisors is an integer number (5027580).

Almost surely, 2140468608 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 140468608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160882560).

140468608 is an abundant number, since it is smaller than the sum of its proper divisors (181296512).

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

140468608 is an equidigital number, since it uses as much as digits as its factorization.

140468608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 140468608 is about 11851.9453255573. The cubic root of 140468608 is about 519.8281088664.

The spelling of 140468608 in words is "one hundred forty million, four hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 211 224 422 448 743 844 896 1477 1486 1688 2954 2972 3376 5201 5908 5944 6752 10402 11816 11888 13504 20804 23632 23776 27008 41608 47264 47552 83216 94528 95104 156773 166432 189056 313546 332864 627092 665728 1097411 1254184 2194822 2508368 4389644 5016736 8779288 10033472 17558576 20066944 35117152 70234304 140468608