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140480640 = 27325293
BaseRepresentation
bin10000101111110…
…01000010000000
3100210100011012200
420113321002000
5241430340030
621534553200
73324031356
oct1027710200
9323304180
10140480640
1172330203
123b068800
1323148051
141492b7d6
15c4edd60
hex85f9080

140480640 has 192 divisors, whose sum is σ = 502421400. Its totient is φ = 36169728.

The previous prime is 140480633. The next prime is 140480653. The reversal of 140480640 is 46084041.

140480640 is a `hidden beast` number, since 14 + 0 + 4 + 8 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65415744 + 75064896 = 8088^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4844146 + ... + 4844174.

Almost surely, 2140480640 is an apocalyptic number.

140480640 is a gapful number since it is divisible by the number (10) 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 140480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251210700).

140480640 is an abundant number, since it is smaller than the sum of its proper divisors (361940760).

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

140480640 is an frugal number, since it uses more digits than its factorization.

140480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 140480640 is about 11852.4529106848. The cubic root of 140480640 is about 519.8429506006.

The spelling of 140480640 in words is "one hundred forty million, four hundred eighty thousand, six hundred forty".