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139448400 = 243527131277
BaseRepresentation
bin10000100111111…
…01000001010000
3100201101201020120
420103331001100
5241144322100
621500510240
73312202050
oct1023750120
9321351216
10139448400
1171795713
123a84b380
1322b76260
141473d560
15c3980a0
hex84fd050

139448400 has 240 divisors, whose sum is σ = 550214784. Its totient is φ = 29399040.

The previous prime is 139448381. The next prime is 139448401. The reversal of 139448400 is 4844931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139448401) 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 47 ways as a sum of consecutive naturals, for example, 108562 + ... + 109838.

Almost surely, 2139448400 is an apocalyptic number.

139448400 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 139448400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275107392).

139448400 is an abundant number, since it is smaller than the sum of its proper divisors (410766384).

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

139448400 is a wasteful number, since it uses less digits than its factorization.

139448400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 139448400 is about 11808.8272067975. The cubic root of 139448400 is about 518.5665650364.

It can be divided in two parts, 1394 and 48400, that added together give a palindrome (49794).

The spelling of 139448400 in words is "one hundred thirty-nine million, four hundred forty-eight thousand, four hundred".