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140468320 = 2557911113
BaseRepresentation
bin10000101111101…
…10000001100000
3100210022112022101
420113312001200
5241424441240
621534420144
73323650426
oct1027660140
9323275271
10140468320
1172321a23
123b061654
1323142565
1414927116
15c4ea39a
hex85f6060

140468320 has 48 divisors (see below), whose sum is σ = 336087360. Its totient is φ = 55471104.

The previous prime is 140468309. The next prime is 140468323. The reversal of 140468320 is 23864041.

140468320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140468323) 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, 7084 + ... + 18196.

It is an arithmetic number, because the mean of its divisors is an integer number (7001820).

Almost surely, 2140468320 is an apocalyptic number.

140468320 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 140468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168043680).

140468320 is an abundant number, since it is smaller than the sum of its proper divisors (195619040).

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

140468320 is a wasteful number, since it uses less digits than its factorization.

140468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11207 (or 11199 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 140468320 is about 11851.9331756469. The cubic root of 140468320 is about 519.8277536018.

It can be divided in two parts, 14046 and 8320, that added together give a triangular number (22366 = T211).

The spelling of 140468320 in words is "one hundred forty million, four hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 395 632 790 1264 1580 2528 3160 6320 11113 12640 22226 44452 55565 88904 111130 177808 222260 355616 444520 877927 889040 1755854 1778080 3511708 4389635 7023416 8779270 14046832 17558540 28093664 35117080 70234160 140468320