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20393536 = 261931541
BaseRepresentation
bin100110111001…
…0111001000000
31102101002200011
41031302321000
520210043121
62005034304
7335225242
oct115627100
942332604
1020393536
1110569a69
1269b5994
1342c05a7
1429cc092
151bcc7e1
hex1372e40

20393536 has 56 divisors (see below), whose sum is σ = 44053760. Its totient is φ = 9331200.

The previous prime is 20393521. The next prime is 20393579. The reversal of 20393536 is 63539302.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 20393498 and 20393507.

It is an unprimeable number.

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, 37426 + ... + 37966.

Almost surely, 220393536 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 20393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22026880).

20393536 is an abundant number, since it is smaller than the sum of its proper divisors (23660224).

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

20393536 is a wasteful number, since it uses less digits than its factorization.

20393536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 31.

The square root of 20393536 is about 4515.9202827331. The cubic root of 20393536 is about 273.2105787609.

It can be divided in two parts, 203 and 93536, that added together give a palindrome (93739).

The spelling of 20393536 in words is "twenty million, three hundred ninety-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 19 31 32 38 62 64 76 124 152 248 304 496 541 589 608 992 1082 1178 1216 1984 2164 2356 4328 4712 8656 9424 10279 16771 17312 18848 20558 33542 34624 37696 41116 67084 82232 134168 164464 268336 318649 328928 536672 637298 657856 1073344 1274596 2549192 5098384 10196768 20393536