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138743766 = 2357172399
BaseRepresentation
bin10000100010100…
…00111111010110
3100200001220200000
420101100333112
5241004300031
621433432130
73303205530
oct1021207726
9320056600
10138743766
1171354277
123a56b646
132298a605
14145d8850
15c2a93e6
hex8450fd6

138743766 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 37293696.

The previous prime is 138743753. The next prime is 138743779. The reversal of 138743766 is 667347831.

It is an interprime number because it is at equal distance from previous prime (138743753) and next prime (138743779).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56635 + ... + 59033.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2138743766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138743766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

138743766 is an abundant number, since it is smaller than the sum of its proper divisors (238651434).

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

138743766 is a wasteful number, since it uses less digits than its factorization.

138743766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2440 (or 2428 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 138743766 is about 11778.9543678546. The cubic root of 138743766 is about 517.6916492433.

The spelling of 138743766 in words is "one hundred thirty-eight million, seven hundred forty-three thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 306 357 378 459 486 567 714 918 1071 1134 1377 1701 2142 2399 2754 3213 3402 4131 4798 6426 7197 8262 9639 14394 16793 19278 21591 28917 33586 40783 43182 50379 57834 64773 81566 100758 122349 129546 151137 194319 244698 285481 302274 367047 388638 453411 570962 582957 734094 856443 906822 1101141 1165914 1360233 1712886 2202282 2569329 2720466 3303423 4080699 5138658 6606846 7707987 8161398 9910269 15415974 19820538 23123961 46247922 69371883 138743766