Search a number
-
+
140416272 = 24321675839
BaseRepresentation
bin10000101111010…
…01010100010000
3100210012212220200
420113221110100
5241421310042
621533335200
73323342613
oct1027512420
9323185820
10140416272
1172296907
123b037500
1323124969
141491217a
15c4d9c4c
hex85e9510

140416272 has 60 divisors (see below), whose sum is σ = 395391360. Its totient is φ = 46517184.

The previous prime is 140416253. The next prime is 140416301. The reversal of 140416272 is 272614041.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 21129 + ... + 26967.

It is an arithmetic number, because the mean of its divisors is an integer number (6589856).

Almost surely, 2140416272 is an apocalyptic number.

140416272 is a gapful number since it is divisible by the number (12) 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 140416272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197695680).

140416272 is an abundant number, since it is smaller than the sum of its proper divisors (254975088).

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

140416272 is a wasteful number, since it uses less digits than its factorization.

140416272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 140416272 is about 11849.7372122761. The cubic root of 140416272 is about 519.7635414071.

The spelling of 140416272 in words is "one hundred forty million, four hundred sixteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 167 334 501 668 1002 1336 1503 2004 2672 3006 4008 5839 6012 8016 11678 12024 17517 23356 24048 35034 46712 52551 70068 93424 105102 140136 210204 280272 420408 840816 975113 1950226 2925339 3900452 5850678 7800904 8776017 11701356 15601808 17552034 23402712 35104068 46805424 70208136 140416272