Search a number
-
+
139688325 = 32527312861
BaseRepresentation
bin10000101001101…
…11100110000101
3100201211220100200
420110313212011
5241230011300
621510001113
73314221410
oct1024674605
9321756320
10139688325
11719399a7
123a946199
1322c2b51a
14147a2b77
15c3e4200
hex8537985

139688325 has 72 divisors (see below), whose sum is σ = 295266816. Its totient is φ = 61776000.

The previous prime is 139688321. The next prime is 139688401. The reversal of 139688325 is 523886931.

It is a happy number.

It is not a de Polignac number, because 139688325 - 22 = 139688321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139688321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47395 + ... + 50255.

It is an arithmetic number, because the mean of its divisors is an integer number (4100928).

Almost surely, 2139688325 is an apocalyptic number.

139688325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

139688325 is an abundant number, since it is smaller than the sum of its proper divisors (155578491).

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

139688325 is a wasteful number, since it uses less digits than its factorization.

139688325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915 (or 2907 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 139688325 is about 11818.9815551087. The cubic root of 139688325 is about 518.8637975535.

The spelling of 139688325 in words is "one hundred thirty-nine million, six hundred eighty-eight thousand, three hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 1085 1395 1575 1953 2325 2861 3255 5425 6975 8583 9765 14305 16275 20027 25749 42915 48825 60081 71525 88691 100135 128745 180243 214575 266073 300405 443455 500675 620837 643725 798219 901215 1330365 1502025 1862511 2217275 3104185 3991095 4506075 5587533 6651825 9312555 15520925 19955475 27937665 46562775 139688325