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138014700 = 223522232063
BaseRepresentation
bin10000011100111…
…10111111101100
3100121200212120120
420032132333230
5240312432300
621410044540
73264051135
oct1016367754
9317625516
10138014700
11709a653a
123a279750
1322793805
1414488c8c
15c1b33a0
hex839efec

138014700 has 72 divisors (see below), whose sum is σ = 401307648. Its totient is φ = 36621120.

The previous prime is 138014627. The next prime is 138014711. The reversal of 138014700 is 7410831.

138014700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65869 + ... + 67931.

Almost surely, 2138014700 is an apocalyptic number.

138014700 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 138014700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200653824).

138014700 is an abundant number, since it is smaller than the sum of its proper divisors (263292948).

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

138014700 is a wasteful number, since it uses less digits than its factorization.

138014700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 138014700 is about 11747.9657813598. The cubic root of 138014700 is about 516.7832734844.

The spelling of 138014700 in words is "one hundred thirty-eight million, fourteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 669 892 1115 1338 2063 2230 2676 3345 4126 4460 5575 6189 6690 8252 10315 11150 12378 13380 16725 20630 22300 24756 30945 33450 41260 51575 61890 66900 103150 123780 154725 206300 309450 460049 618900 920098 1380147 1840196 2300245 2760294 4600490 5520588 6900735 9200980 11501225 13801470 23002450 27602940 34503675 46004900 69007350 138014700