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1002414 = 23729823
BaseRepresentation
bin11110100101110101110
31212221001110
43310232232
5224034124
633252450
711343330
oct3645656
91787043
101002414
11625146
12404126
1329135a
141c1450
1514c029
hexf4bae

1002414 has 32 divisors (see below), whose sum is σ = 2373120. Its totient is φ = 276192.

The previous prime is 1002403. The next prime is 1002427. The reversal of 1002414 is 4142001.

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 1002414.

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 15 ways as a sum of consecutive naturals, for example, 807 + ... + 1629.

It is an arithmetic number, because the mean of its divisors is an integer number (74160).

21002414 is an apocalyptic number.

1002414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186560).

1002414 is an abundant number, since it is smaller than the sum of its proper divisors (1370706).

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

1002414 is a wasteful number, since it uses less digits than its factorization.

1002414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1002414 is about 1001.2062724534. The cubic root of 1002414 is about 100.0804020045.

Adding to 1002414 its reverse (4142001), we get a palindrome (5144415).

The spelling of 1002414 in words is "one million, two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 823 1218 1646 2469 4938 5761 11522 17283 23867 34566 47734 71601 143202 167069 334138 501207 1002414