Search a number
-
+
138217401 = 3376131193
BaseRepresentation
bin10000011110100…
…00011110111001
3100122002011122000
420033100132321
5240340424101
621414251213
73265554120
oct1017203671
9318064560
10138217401
1171024863
123a356b09
1322834b5a
14144dcab7
15c203486
hex83d07b9

138217401 has 32 divisors (see below), whose sum is σ = 234597120. Its totient is φ = 78786432.

The previous prime is 138217369. The next prime is 138217403. The reversal of 138217401 is 104712831.

138217401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138217401 - 25 = 138217369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (138217403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115261 + ... + 116453.

It is an arithmetic number, because the mean of its divisors is an integer number (7331160).

Almost surely, 2138217401 is an apocalyptic number.

It is an amenable number.

138217401 is a deficient number, since it is larger than the sum of its proper divisors (96379719).

138217401 is a wasteful number, since it uses less digits than its factorization.

138217401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 138217401 is about 11756.5896840878. The cubic root of 138217401 is about 517.0361481060.

The spelling of 138217401 in words is "one hundred thirty-eight million, two hundred seventeen thousand, four hundred one".

Divisors: 1 3 7 9 21 27 63 189 613 1193 1839 3579 4291 5517 8351 10737 12873 16551 25053 32211 38619 75159 115857 225477 731309 2193927 5119163 6581781 15357489 19745343 46072467 138217401