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1005146431 = 53115116477
BaseRepresentation
bin111011111010010…
…101000100111111
32121001100201200121
4323322111010333
54024304141211
6243423435411
733623414032
oct7372250477
92531321617
101005146431
11476419433
12240755b67
1313031c803
14976cb019
155d39b271
hex3be9513f

1005146431 has 8 divisors (see below), whose sum is σ = 1025063424. Its totient is φ = 985264800.

The previous prime is 1005146423. The next prime is 1005146473. The reversal of 1005146431 is 1346415001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1005146431 - 23 = 1005146423 is a prime.

It is a super-2 number, since 2×10051464312 = 2020638695504075522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005146396 and 1005146405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005146411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52765 + ... + 69241.

It is an arithmetic number, because the mean of its divisors is an integer number (128132928).

Almost surely, 21005146431 is an apocalyptic number.

1005146431 is a deficient number, since it is larger than the sum of its proper divisors (19916993).

1005146431 is a wasteful number, since it uses less digits than its factorization.

1005146431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17681.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1005146431 is about 31704.0443949979. The cubic root of 1005146431 is about 1001.7125425239.

The spelling of 1005146431 in words is "one billion, five million, one hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 53 1151 16477 61003 873281 18965027 1005146431