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1005231414 = 2311127711927
BaseRepresentation
bin111011111010101…
…001110100110110
32121001112001021010
4323322221310312
54024314401124
6243425333050
733624216555
oct7372516466
92531461233
101005231414
11476477270
12240797186
1313034c3b5
149770dd9c
155d3b6529
hex3bea9d36

1005231414 has 32 divisors (see below), whose sum is σ = 2195133696. Its totient is φ = 304351520.

The previous prime is 1005231413. The next prime is 1005231427. The reversal of 1005231414 is 4141325001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005231413) 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 15 ways as a sum of consecutive naturals, for example, 78319 + ... + 90245.

It is an arithmetic number, because the mean of its divisors is an integer number (68597928).

Almost surely, 21005231414 is an apocalyptic number.

1005231414 is an abundant number, since it is smaller than the sum of its proper divisors (1189902282).

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

1005231414 is a wasteful number, since it uses less digits than its factorization.

1005231414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13220.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1005231414 is about 31705.3846215434. The cubic root of 1005231414 is about 1001.7407726190.

Adding to 1005231414 its reverse (4141325001), we get a palindrome (5146556415).

The spelling of 1005231414 in words is "one billion, five million, two hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 1277 2554 3831 7662 11927 14047 23854 28094 35781 42141 71562 84282 131197 262394 393591 787182 15230779 30461558 45692337 91384674 167538569 335077138 502615707 1005231414