Search a number
-
+
138426816 = 2631165543
BaseRepresentation
bin10000100000000…
…11100111000000
3100122110210220010
420100003213000
5240414124231
621422544520
73300415503
oct1020034700
9318423803
10138426816
1171158130
123a438140
13228a9278
141455513a
15c245546
hex84039c0

138426816 has 56 divisors (see below), whose sum is σ = 399556224. Its totient is φ = 41946880.

The previous prime is 138426793. The next prime is 138426823. The reversal of 138426816 is 618624831.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30660 + ... + 34883.

Almost surely, 2138426816 is an apocalyptic number.

138426816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138426816 is an abundant number, since it is smaller than the sum of its proper divisors (261129408).

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

138426816 is a wasteful number, since it uses less digits than its factorization.

138426816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65569 (or 65559 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 138426816 is about 11765.4925948725. The cubic root of 138426816 is about 517.2971390934.

The spelling of 138426816 in words is "one hundred thirty-eight million, four hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 65543 131086 196629 262172 393258 524344 720973 786516 1048688 1441946 1573032 2097376 2162919 2883892 3146064 4194752 4325838 5767784 6292128 8651676 11535568 12584256 17303352 23071136 34606704 46142272 69213408 138426816