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1003020414 = 2311591791439
BaseRepresentation
bin111011110010001…
…110000001111110
32120220100201100020
4323302032001332
54023233123124
6243310113010
733566350524
oct7362160176
92526321306
101003020414
114751a70a0
1223baab766
1312ca56c06
14972d6314
155d0cb379
hex3bc8e07e

1003020414 has 64 divisors (see below), whose sum is σ = 2239488000. Its totient is φ = 296918240.

The previous prime is 1003020413. The next prime is 1003020427. The reversal of 1003020414 is 4140203001.

It is a junction number, because it is equal to n+sod(n) for n = 1003020393 and 1003020402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003020413) 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 31 ways as a sum of consecutive naturals, for example, 696307 + ... + 697745.

It is an arithmetic number, because the mean of its divisors is an integer number (34992000).

Almost surely, 21003020414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003020414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119744000).

1003020414 is an abundant number, since it is smaller than the sum of its proper divisors (1236467586).

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

1003020414 is a wasteful number, since it uses less digits than its factorization.

1003020414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1693.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1003020414 is about 31670.4975331933. The cubic root of 1003020414 is about 1001.0057927085.

Adding to 1003020414 its reverse (4140203001), we get a palindrome (5143223415).

The spelling of 1003020414 in words is "one billion, three million, twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 22 33 59 66 118 177 179 354 358 537 649 1074 1298 1439 1947 1969 2878 3894 3938 4317 5907 8634 10561 11814 15829 21122 31658 31683 47487 63366 84901 94974 116171 169802 232342 254703 257581 348513 509406 515162 697026 772743 933911 1545486 1867822 2801733 2833391 5603466 5666782 8500173 15197279 17000346 30394558 45591837 91183674 167170069 334340138 501510207 1003020414