Search a number
-
+
138614476 = 227111322663
BaseRepresentation
bin10000100001100…
…01011011001100
3100122211100022111
420100301123030
5240441130401
621430553404
73302126560
oct1020613314
9318740274
10138614476
1171276120
123a508864
1322943800
14145a36a0
15c280e51
hex84316cc

138614476 has 72 divisors (see below), whose sum is σ = 327608064. Its totient is φ = 49832640.

The previous prime is 138614471. The next prime is 138614513. The reversal of 138614476 is 674416831.

It is not an unprimeable number, because it can be changed into a prime (138614471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50721 + ... + 53383.

It is an arithmetic number, because the mean of its divisors is an integer number (4550112).

Almost surely, 2138614476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138614476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163804032).

138614476 is an abundant number, since it is smaller than the sum of its proper divisors (188993588).

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

138614476 is a wasteful number, since it uses less digits than its factorization.

138614476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2696 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 138614476 is about 11773.4649105520. The cubic root of 138614476 is about 517.5307935965.

The spelling of 138614476 in words is "one hundred thirty-eight million, six hundred fourteen thousand, four hundred seventy-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 169 182 286 308 338 364 572 676 1001 1183 1859 2002 2366 2663 3718 4004 4732 5326 7436 10652 13013 18641 26026 29293 34619 37282 52052 58586 69238 74564 117172 138476 205051 242333 380809 410102 450047 484666 761618 820204 900094 969332 1523236 1800188 2665663 3150329 4950517 5331326 6300658 9901034 10662652 12601316 19802068 34653619 69307238 138614476