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140164320 = 25351789193
BaseRepresentation
bin10000101101010…
…11110011100000
3100202202002022010
420112223303200
5241340224240
621524112520
73321243222
oct1026536340
9322662263
10140164320
117213458a
123ab35740
132306708a
1414888412
15c48a280
hex85abce0

140164320 has 192 divisors, whose sum is σ = 475191360. Its totient is φ = 34603008.

The previous prime is 140164313. The next prime is 140164351. The reversal of 140164320 is 23461041.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726144 + ... + 726336.

It is an arithmetic number, because the mean of its divisors is an integer number (2474955).

Almost surely, 2140164320 is an apocalyptic number.

140164320 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 140164320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237595680).

140164320 is an abundant number, since it is smaller than the sum of its proper divisors (335027040).

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

140164320 is a wasteful number, since it uses less digits than its factorization.

140164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 140164320 is about 11839.1013172453. The cubic root of 140164320 is about 519.4524809070.

It can be divided in two parts, 14016 and 4320, that added together give a triangular number (18336 = T191).

The spelling of 140164320 in words is "one hundred forty million, one hundred sixty-four thousand, three hundred twenty".