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20142304 = 257136917
BaseRepresentation
bin100110011010…
…1100011100000
31101220100001021
41030311203200
520124023204
61555415224
7333130630
oct114654340
941810037
1020142304
1110408236
1268b4514
134233130
1429646c0
151b7d154
hex13358e0

20142304 has 48 divisors (see below), whose sum is σ = 48813408. Its totient is φ = 7967232.

The previous prime is 20142301. The next prime is 20142307. The reversal of 20142304 is 40324102.

It is an interprime number because it is at equal distance from previous prime (20142301) and next prime (20142307).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20142301) 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 7 ways as a sum of consecutive naturals, for example, 547 + ... + 6370.

It is an arithmetic number, because the mean of its divisors is an integer number (1016946).

Almost surely, 220142304 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 20142304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24406704).

20142304 is an abundant number, since it is smaller than the sum of its proper divisors (28671104).

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

20142304 is a wasteful number, since it uses less digits than its factorization.

20142304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 20142304 is about 4488.0178252765. The cubic root of 20142304 is about 272.0840282486.

Adding to 20142304 its reverse (40324102), we get a palindrome (60466406).

The spelling of 20142304 in words is "twenty million, one hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 6917 13834 27668 48419 55336 89921 96838 110672 179842 193676 221344 359684 387352 629447 719368 774704 1258894 1438736 1549408 2517788 2877472 5035576 10071152 20142304