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138097386 = 236721933
BaseRepresentation
bin10000011101100…
…11001011101010
3100121212002000000
420032303023222
5240323104021
621411523430
73264544200
oct1016631352
9317762000
10138097386
1170a52679
123a2b9576
13227c233b
14144ab070
15c1ccb26
hex83b32ea

138097386 has 84 divisors (see below), whose sum is σ = 361470402. Its totient is φ = 39435984.

The previous prime is 138097369. The next prime is 138097411. The reversal of 138097386 is 683790831.

It is a happy number.

138097386 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 108056025 + 30041361 = 10395^2 + 5481^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 70476 + ... + 72408.

Almost surely, 2138097386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138097386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180735201).

138097386 is an abundant number, since it is smaller than the sum of its proper divisors (223373016).

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

138097386 is an equidigital number, since it uses as much as digits as its factorization.

138097386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 138097386 is about 11751.4844168726. The cubic root of 138097386 is about 516.8864562399.

The spelling of 138097386 in words is "one hundred thirty-eight million, ninety-seven thousand, three hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 1933 2646 3402 3866 3969 5103 5799 7938 10206 11598 11907 13531 17397 23814 27062 34794 35721 40593 52191 71442 81186 94717 104382 121779 156573 189434 243558 284151 313146 365337 469719 568302 730674 852453 939438 1096011 1409157 1704906 2192022 2557359 2818314 3288033 5114718 6576066 7672077 9864099 15344154 19728198 23016231 46032462 69048693 138097386