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20103424 = 2811359
BaseRepresentation
bin100110010110…
…0000100000000
31101211100201021
41030230010000
520121302144
61554515224
7332606365
oct114540400
941740637
1020103424
1110391000
126895b14
13421b523
14295446c
151b71884
hex132c100

20103424 has 72 divisors (see below), whose sum is σ = 44886240. Its totient is φ = 8983040.

The previous prime is 20103383. The next prime is 20103427. The reversal of 20103424 is 42430102.

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

It is a junction number, because it is equal to n+sod(n) for n = 20103398 and 20103407.

It is not an unprimeable number, because it can be changed into a prime (20103427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 340707 + ... + 340765.

It is an arithmetic number, because the mean of its divisors is an integer number (623420).

Almost surely, 220103424 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 20103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22443120).

20103424 is an abundant number, since it is smaller than the sum of its proper divisors (24782816).

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

20103424 is an frugal number, since it uses more digits than its factorization.

20103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 72 counting only the distinct ones).

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

The square root of 20103424 is about 4483.6841994057. The cubic root of 20103424 is about 271.9088506581.

Adding to 20103424 its reverse (42430102), we get a palindrome (62533526).

The spelling of 20103424 in words is "twenty million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 121 128 176 236 242 256 352 472 484 649 704 944 968 1298 1331 1408 1888 1936 2596 2662 2816 3776 3872 5192 5324 7139 7552 7744 10384 10648 14278 15104 15488 20768 21296 28556 30976 41536 42592 57112 78529 83072 85184 114224 157058 166144 170368 228448 314116 340736 456896 628232 913792 1256464 1827584 2512928 5025856 10051712 20103424