Search a number
-
+
138533040 = 24325192407
BaseRepresentation
bin10000100000111…
…01100010110000
3100122200012121100
420100131202300
5240431024130
621425124400
73301340262
oct1020354260
9318605540
10138533040
117121aa18
123a489700
1322915719
1414581b32
15c266c60
hex841d8b0

138533040 has 60 divisors (see below), whose sum is σ = 465242544. Its totient is φ = 36941952.

The previous prime is 138533011. The next prime is 138533053. The reversal of 138533040 is 40335831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 138532995 and 138533013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 95484 + ... + 96923.

Almost surely, 2138533040 is an apocalyptic number.

138533040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138533040 is an abundant number, since it is smaller than the sum of its proper divisors (326709504).

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

138533040 is a wasteful number, since it uses less digits than its factorization.

138533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192426 (or 192417 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 138533040 is about 11770.0059473222. The cubic root of 138533040 is about 517.4294239677.

Adding to 138533040 its reverse (40335831), we get a palindrome (178868871).

The spelling of 138533040 in words is "one hundred thirty-eight million, five hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 192407 384814 577221 769628 962035 1154442 1539256 1731663 1924070 2308884 2886105 3078512 3463326 3848140 4617768 5772210 6926652 7696280 8658315 9235536 11544420 13853304 15392560 17316630 23088840 27706608 34633260 46177680 69266520 138533040