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131763438 = 23237432107
BaseRepresentation
bin1111101101010…
…00110011101110
3100011221021110100
413312220303232
5232212412223
621024051530
73156653652
oct766506356
9304837410
10131763438
1168416904
1238163ba6
13213b5341
14136dca62
15b87b043
hex7da8cee

131763438 has 72 divisors (see below), whose sum is σ = 302986008. Its totient is φ = 41350176.

The previous prime is 131763431. The next prime is 131763469. The reversal of 131763438 is 834367131.

131763438 is a `hidden beast` number, since 1 + 3 + 17 + 634 + 3 + 8 = 666.

Its product of digits (36288) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131763431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1231381 + ... + 1231487.

It is an arithmetic number, because the mean of its divisors is an integer number (4208139).

Almost surely, 2131763438 is an apocalyptic number.

131763438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131763438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151493004).

131763438 is an abundant number, since it is smaller than the sum of its proper divisors (171222570).

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

131763438 is a wasteful number, since it uses less digits than its factorization.

131763438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 192 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 131763438 is about 11478.8256367975. The cubic root of 131763438 is about 508.8599911093.

The spelling of 131763438 in words is "one hundred thirty-one million, seven hundred sixty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 43 74 86 107 111 129 214 222 258 321 333 387 642 666 774 963 1591 1849 1926 3182 3698 3959 4601 4773 5547 7918 9202 9546 11094 11877 13803 14319 16641 23754 27606 28638 33282 35631 41409 68413 71262 82818 136826 170237 197843 205239 340474 395686 410478 510711 593529 615717 1021422 1187058 1231434 1532133 1780587 3064266 3561174 7320191 14640382 21960573 43921146 65881719 131763438