Search a number
-
+
138003540 = 22354156099
BaseRepresentation
bin10000011100111…
…00010001010100
3100121200022021020
420032130101110
5240312103130
621405521140
73264003453
oct1016342124
9317608236
10138003540
1170999114
123a2731b0
132278b6cc
1414484b9a
15c1aee10
hex839c454

138003540 has 48 divisors (see below), whose sum is σ = 395841600. Its totient is φ = 35902720.

The previous prime is 138003539. The next prime is 138003557. The reversal of 138003540 is 45300831.

It is a self number, because there is not a number n which added to its sum of digits gives 138003540.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 25590 + ... + 30509.

It is an arithmetic number, because the mean of its divisors is an integer number (8246700).

Almost surely, 2138003540 is an apocalyptic number.

138003540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138003540 is an abundant number, since it is smaller than the sum of its proper divisors (257838060).

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

138003540 is a wasteful number, since it uses less digits than its factorization.

138003540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56152 (or 56150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 138003540 is about 11747.4907959104. The cubic root of 138003540 is about 516.7693439132.

The spelling of 138003540 in words is "one hundred thirty-eight million, three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 56099 112198 168297 224396 280495 336594 560990 673188 841485 1121980 1682970 2300059 3365940 4600118 6900177 9200236 11500295 13800354 23000590 27600708 34500885 46001180 69001770 138003540