Search a number
-
+
138519654 = 23713614159
BaseRepresentation
bin10000100000110…
…10010001100110
3100122122112020120
420100122101212
5240430112104
621424542410
73301253250
oct1020322146
9318575216
10138519654
1171210959
123a481a06
132290c5c0
141457acd0
15c262cd9
hex841a466

138519654 has 64 divisors (see below), whose sum is σ = 346644480. Its totient is φ = 35925120.

The previous prime is 138519649. The next prime is 138519677. The reversal of 138519654 is 456915831.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31227 + ... + 35385.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2138519654 is an apocalyptic number.

138519654 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 138519654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173322240).

138519654 is an abundant number, since it is smaller than the sum of its proper divisors (208124826).

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

138519654 is a wasteful number, since it uses less digits than its factorization.

138519654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4245.

The product of its digits is 129600, while the sum is 42.

The square root of 138519654 is about 11769.4372847643. The cubic root of 138519654 is about 517.4127575865.

The spelling of 138519654 in words is "one hundred thirty-eight million, five hundred nineteen thousand, six hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 61 78 91 122 182 183 273 366 427 546 793 854 1281 1586 2379 2562 4159 4758 5551 8318 11102 12477 16653 24954 29113 33306 54067 58226 87339 108134 162201 174678 253699 324402 378469 507398 756938 761097 1135407 1522194 1775893 2270814 3298087 3551786 5327679 6596174 9894261 10655358 19788522 23086609 46173218 69259827 138519654