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20030416 = 247229881
BaseRepresentation
bin100110001101…
…0001111010000
31101200122120021
41030122033100
520111433131
61553153224
7332153500
oct114321720
941618507
1020030416
111034116a
12685b814
1341c4223
142935a00
151b59e11
hex131a3d0

20030416 has 60 divisors (see below), whose sum is σ = 46754820. Its totient is φ = 8279040.

The previous prime is 20030411. The next prime is 20030443. The reversal of 20030416 is 61403002.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 13249600 = 2604^2 + 3640^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a self number, because there is not a number n which added to its sum of digits gives 20030416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20030411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22296 + ... + 23176.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 220030416 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 20030416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23377410).

20030416 is an abundant number, since it is smaller than the sum of its proper divisors (26724404).

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

20030416 is a wasteful number, since it uses less digits than its factorization.

20030416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 20030416 is about 4475.5352752492. The cubic root of 20030416 is about 271.5792948399.

Adding to 20030416 its reverse (61403002), we get a palindrome (81433418).

The spelling of 20030416 in words is "twenty million, thirty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 881 1421 1624 1762 2842 3248 3524 5684 6167 7048 11368 12334 14096 22736 24668 25549 43169 49336 51098 86338 98672 102196 172676 178843 204392 345352 357686 408784 690704 715372 1251901 1430744 2503802 2861488 5007604 10015208 20030416