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12738138 = 2372371171
BaseRepresentation
bin110000100101…
…111001011010
3212222011102220
4300211321122
511230110023
61133004510
7213162300
oct60457132
925864386
1012738138
117210396
124323736
13283cc7a
141998270
1511b93e3
hexc25e5a

12738138 has 48 divisors (see below), whose sum is σ = 30462624. Its totient is φ = 3538080.

The previous prime is 12738133. The next prime is 12738149. The reversal of 12738138 is 83183721.

12738138 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12738138 is strictly pandigital in base 8.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12738099 and 12738108.

It is not an unprimeable number, because it can be changed into a prime (12738133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10293 + ... + 11463.

It is an arithmetic number, because the mean of its divisors is an integer number (634638).

Almost surely, 212738138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12738138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15231312).

12738138 is an abundant number, since it is smaller than the sum of its proper divisors (17724486).

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

12738138 is a wasteful number, since it uses less digits than its factorization.

12738138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1220 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 12738138 is about 3569.0528155240. The cubic root of 12738138 is about 233.5439653590.

The spelling of 12738138 in words is "twelve million, seven hundred thirty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1171 1554 1813 2342 3513 3626 5439 7026 8197 10878 16394 24591 43327 49182 57379 86654 114758 129981 172137 259962 303289 344274 606578 909867 1819734 2123023 4246046 6369069 12738138