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138389706 = 23271326797
BaseRepresentation
bin10000011111110…
…10100011001010
3100122101220222200
420033322203022
5240411432311
621422101030
73300202350
oct1017724312
9318356880
10138389706
1171132264
123a41a776
1322895400
14145457d0
15c239556
hex83fa8ca

138389706 has 144 divisors (see below), whose sum is σ = 380487744. Its totient is φ = 35582976.

The previous prime is 138389701. The next prime is 138389717. The reversal of 138389706 is 607983831.

It is a happy number.

138389706 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138389701) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1426650 + ... + 1426746.

It is an arithmetic number, because the mean of its divisors is an integer number (2642276).

Almost surely, 2138389706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138389706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190243872).

138389706 is an abundant number, since it is smaller than the sum of its proper divisors (242098038).

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

138389706 is a wasteful number, since it uses less digits than its factorization.

138389706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 189 counting only the distinct ones).

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

The square root of 138389706 is about 11763.9154196211. The cubic root of 138389706 is about 517.2509086180.

The spelling of 138389706 in words is "one hundred thirty-eight million, three hundred eighty-nine thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 67 78 91 97 117 126 134 169 182 194 201 234 273 291 338 402 469 507 546 582 603 679 819 871 873 938 1014 1183 1206 1261 1358 1407 1521 1638 1742 1746 2037 2366 2522 2613 2814 3042 3549 3783 4074 4221 5226 6097 6111 6499 7098 7566 7839 8442 8827 10647 11323 11349 12194 12222 12998 15678 16393 17654 18291 19497 21294 22646 22698 26481 32786 33969 36582 38994 45493 49179 52962 54873 58491 67938 79261 79443 84487 90986 98358 101907 109746 114751 116982 136479 147537 158522 158886 168974 203814 229502 237783 253461 272958 295074 344253 409437 475566 506922 591409 688506 713349 760383 818874 1032759 1098331 1182818 1426698 1520766 1774227 2065518 2196662 3294993 3548454 5322681 6589986 7688317 9884979 10645362 15376634 19769958 23064951 46129902 69194853 138389706