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20203008 = 29371879
BaseRepresentation
bin100110100010…
…0011000000000
31102000102022120
41031010120000
520132444013
62001004240
7333502620
oct115043000
942012276
1020203008
1110449901
126923680
134254957
14297c880
151b91123
hex1344600

20203008 has 80 divisors (see below), whose sum is σ = 61543680. Its totient is φ = 5769216.

The previous prime is 20203003. The next prime is 20203049. The reversal of 20203008 is 80030202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20203003) 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, 9813 + ... + 11691.

It is an arithmetic number, because the mean of its divisors is an integer number (769296).

Almost surely, 220203008 is an apocalyptic number.

20203008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20203008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30771840).

20203008 is an abundant number, since it is smaller than the sum of its proper divisors (41340672).

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

20203008 is an equidigital number, since it uses as much as digits as its factorization.

20203008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1891 counting only the distinct ones).

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

The square root of 20203008 is about 4494.7756340000. The cubic root of 20203008 is about 272.3570857937.

The spelling of 20203008 in words is "twenty million, two hundred three thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 1879 2688 3584 3758 5376 5637 7516 10752 11274 13153 15032 22548 26306 30064 39459 45096 52612 60128 78918 90192 105224 120256 157836 180384 210448 240512 315672 360768 420896 481024 631344 721536 841792 962048 1262688 1443072 1683584 2525376 2886144 3367168 5050752 6734336 10101504 20203008