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138083274 = 23272473331
BaseRepresentation
bin10000011101011…
…11101111001010
3100121211100122100
420032233233022
5240322131044
621411334230
73264455100
oct1016575712
9317740570
10138083274
1170a4300a
123a2b1376
13227b8aa4
14144a5c70
15c1c8869
hex83afbca

138083274 has 72 divisors (see below), whose sum is σ = 355537728. Its totient is φ = 38601360.

The previous prime is 138083263. The next prime is 138083327. The reversal of 138083274 is 472380831.

138083274 is a `hidden beast` number, since 1 + 380 + 8 + 3 + 274 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39789 + ... + 43119.

It is an arithmetic number, because the mean of its divisors is an integer number (4938024).

Almost surely, 2138083274 is an apocalyptic number.

138083274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138083274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177768864).

138083274 is an abundant number, since it is smaller than the sum of its proper divisors (217454454).

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

138083274 is a wasteful number, since it uses less digits than its factorization.

138083274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138083274 is about 11750.8839667491. The cubic root of 138083274 is about 516.8688489789.

The spelling of 138083274 in words is "one hundred thirty-eight million, eighty-three thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 423 441 658 846 882 987 1974 2303 2961 3331 4606 5922 6662 6909 9993 13818 19986 20727 23317 29979 41454 46634 59958 69951 139902 156557 163219 209853 313114 326438 419706 469671 489657 939342 979314 1095899 1409013 1468971 2191798 2818026 2937942 3287697 6575394 7671293 9863091 15342586 19726182 23013879 46027758 69041637 138083274