[go: up one dir, main page]

Search a number
-
+
140581440 = 2633553307
BaseRepresentation
bin10000110000100…
…01101001000000
3100210112021111000
420120101221000
5241442101230
621541052000
73324631266
oct1030215100
9323467430
10140581440
1172399a0a
123b0b7000
1323181bac
1414956436
15c51db60
hex8611a40

140581440 has 224 divisors, whose sum is σ = 506943360. Its totient is φ = 36661248.

The previous prime is 140581417. The next prime is 140581447. The reversal of 140581440 is 44185041.

It is a happy number.

140581440 is a `hidden beast` number, since 1 + 40 + 581 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140581447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457767 + ... + 458073.

It is an arithmetic number, because the mean of its divisors is an integer number (2263140).

Almost surely, 2140581440 is an apocalyptic number.

140581440 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 140581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253471680).

140581440 is an abundant number, since it is smaller than the sum of its proper divisors (366361920).

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

140581440 is a wasteful number, since it uses less digits than its factorization.

140581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 140581440 is about 11856.7044325141. The cubic root of 140581440 is about 519.9672563209.

The spelling of 140581440 in words is "one hundred forty million, five hundred eighty-one thousand, four hundred forty".