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131920326 = 2355212
BaseRepresentation
bin1111101110011…
…11000111000110
3100012020020200000
413313033013012
5232232422301
621031302130
73161206236
oct767170706
9305206600
10131920326
116851376a
123821a946
132143b885
141373dcc6
15b8ac786
hex7dcf1c6

131920326 has 36 divisors (see below), whose sum is σ = 296983596. Its totient is φ = 43889040.

The previous prime is 131920319. The next prime is 131920331. The reversal of 131920326 is 623029131.

131920326 is a `hidden beast` number, since 1 + 319 + 20 + 326 = 666.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 131920326.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 252946 + ... + 253466.

Almost surely, 2131920326 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131920326, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148491798).

131920326 is an abundant number, since it is smaller than the sum of its proper divisors (165063270).

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

131920326 is an frugal number, since it uses more digits than its factorization.

131920326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 131920326 is about 11485.6574039103. The cubic root of 131920326 is about 509.0618740263.

Multiplying 131920326 by its product of nonzero digits (1944), we get a square (256453113744 = 5064122).

Adding to 131920326 its reverse (623029131), we get a palindrome (754949457).

The spelling of 131920326 in words is "one hundred thirty-one million, nine hundred twenty thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 521 1042 1563 3126 4689 9378 14067 28134 42201 84402 126603 253206 271441 542882 814323 1628646 2442969 4885938 7328907 14657814 21986721 43973442 65960163 131920326