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131352078 = 231113295279
BaseRepresentation
bin1111101010001…
…00011000001110
3100011011101011210
413311010120032
5232111231303
621011155250
73153321444
oct765043016
9304141153
10131352078
1168165840
1237ba5b26
13212a0030
1413632b94
15b7e9203
hex7d4460e

131352078 has 64 divisors (see below), whose sum is σ = 319334400. Its totient is φ = 35468160.

The previous prime is 131352071. The next prime is 131352079. The reversal of 131352078 is 870253131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131352071) 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 31 ways as a sum of consecutive naturals, for example, 22243 + ... + 27521.

It is an arithmetic number, because the mean of its divisors is an integer number (4989600).

Almost surely, 2131352078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131352078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159667200).

131352078 is an abundant number, since it is smaller than the sum of its proper divisors (187982322).

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

131352078 is a wasteful number, since it uses less digits than its factorization.

131352078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5337.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 131352078 is about 11460.8934206719. The cubic root of 131352078 is about 508.3298924668.

The spelling of 131352078 in words is "one hundred thirty-one million, three hundred fifty-two thousand, seventy-eight".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 377 429 638 754 858 957 1131 1914 2262 4147 5279 8294 10558 12441 15837 24882 31674 58069 68627 116138 137254 153091 174207 205881 306182 348414 411762 459273 754897 918546 1509794 1684001 1990183 2264691 3368002 3980366 4529382 5052003 5970549 10104006 11941098 21892013 43784026 65676039 131352078