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131026432 = 291913469
BaseRepresentation
bin1111100111101…
…00111000000000
3100010112211110211
413303310320000
5232020321212
621000203504
73150464155
oct763647000
9303484424
10131026432
1167a63109
1237a69594
13211b7a44
141358a22c
15b7829a7
hex7cf4e00

131026432 has 40 divisors (see below), whose sum is σ = 275596200. Its totient is φ = 62060544.

The previous prime is 131026421. The next prime is 131026457. The reversal of 131026432 is 234620131.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2994 + ... + 16462.

It is an arithmetic number, because the mean of its divisors is an integer number (6889905).

Almost surely, 2131026432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137798100).

131026432 is an abundant number, since it is smaller than the sum of its proper divisors (144569768).

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

131026432 is an equidigital number, since it uses as much as digits as its factorization.

131026432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13506 (or 13490 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 131026432 is about 11446.6777713012. The cubic root of 131026432 is about 507.9094636844.

Adding to 131026432 its reverse (234620131), we get a palindrome (365646563).

The spelling of 131026432 in words is "one hundred thirty-one million, twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1216 2432 4864 9728 13469 26938 53876 107752 215504 255911 431008 511822 862016 1023644 1724032 2047288 3448064 4094576 6896128 8189152 16378304 32756608 65513216 131026432