Search a number
-
+
138217625 = 5371329419
BaseRepresentation
bin10000011110100…
…00100010011001
3100122002011221022
420033100202121
5240340431000
621414252225
73265554560
oct1017204231
9318064838
10138217625
1171024a47
123a357075
1322834ca0
14144dcbd7
15c203585
hex83d0899

138217625 has 64 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 84268800.

The previous prime is 138217621. The next prime is 138217627. The reversal of 138217625 is 526712831.

It is a happy number.

It is not a de Polignac number, because 138217625 - 22 = 138217621 is a prime.

It is a super-2 number, since 2×1382176252 = 38208223721281250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (138217621) 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 63 ways as a sum of consecutive naturals, for example, 329666 + ... + 330084.

It is an arithmetic number, because the mean of its divisors is an integer number (3439800).

Almost surely, 2138217625 is an apocalyptic number.

It is an amenable number.

138217625 is a deficient number, since it is larger than the sum of its proper divisors (81929575).

138217625 is a wasteful number, since it uses less digits than its factorization.

138217625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 138217625 is about 11756.5992106561. The cubic root of 138217625 is about 517.0364274148.

The spelling of 138217625 in words is "one hundred thirty-eight million, two hundred seventeen thousand, six hundred twenty-five".

Divisors: 1 5 7 13 25 29 35 65 91 125 145 175 203 325 377 419 455 725 875 1015 1625 1885 2095 2275 2639 2933 3625 5075 5447 9425 10475 11375 12151 13195 14665 25375 27235 38129 47125 52375 60755 65975 73325 85057 136175 157963 190645 303775 329875 366625 425285 680875 789815 953225 1105741 1518875 2126425 3949075 4766125 5528705 10632125 19745375 27643525 138217625