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20543004 = 22331767167
BaseRepresentation
bin100111001011…
…1011000011100
31102122200201000
41032113120130
520224334004
62012150300
7336420066
oct116273034
942580630
1020543004
1110661299
126a68390
134343631
142a2a736
151c0bc39
hex139761c

20543004 has 96 divisors (see below), whose sum is σ = 57576960. Its totient is φ = 6310656.

The previous prime is 20542999. The next prime is 20543051. The reversal of 20543004 is 40034502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 122929 + ... + 123095.

It is an arithmetic number, because the mean of its divisors is an integer number (599760).

Almost surely, 220543004 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 20543004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28788480).

20543004 is an abundant number, since it is smaller than the sum of its proper divisors (37033956).

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

20543004 is a wasteful number, since it uses less digits than its factorization.

20543004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 20543004 is about 4532.4390784654. The cubic root of 20543004 is about 273.8764249974.

Adding to 20543004 its reverse (40034502), we get a palindrome (60577506).

The spelling of 20543004 in words is "twenty million, five hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 67 68 102 108 134 153 167 201 204 268 306 334 402 459 501 603 612 668 804 918 1002 1139 1206 1503 1809 1836 2004 2278 2412 2839 3006 3417 3618 4509 4556 5678 6012 6834 7236 8517 9018 10251 11189 11356 13668 17034 18036 20502 22378 25551 30753 33567 34068 41004 44756 51102 61506 67134 76653 100701 102204 123012 134268 153306 190213 201402 302103 306612 380426 402804 570639 604206 760852 1141278 1208412 1711917 2282556 3423834 5135751 6847668 10271502 20543004