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20363424 = 253434933
BaseRepresentation
bin100110110101…
…1100010100000
31102022120100220
41031223202200
520203112144
62004243040
7335041404
oct115534240
942276326
1020363424
1110549384
1269a0480
1342ac983
1429c1104
151bc3919
hex136b8a0

20363424 has 48 divisors (see below), whose sum is σ = 54708192. Its totient is φ = 6628608.

The previous prime is 20363419. The next prime is 20363443. The reversal of 20363424 is 42436302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20363394 and 20363403.

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, 1662 + ... + 6594.

It is an arithmetic number, because the mean of its divisors is an integer number (1139754).

Almost surely, 220363424 is an apocalyptic number.

20363424 is a gapful number since it is divisible by the number (24) 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 20363424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27354096).

20363424 is an abundant number, since it is smaller than the sum of its proper divisors (34344768).

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

20363424 is a wasteful number, since it uses less digits than its factorization.

20363424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4981 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 20363424 is about 4512.5850684502. The cubic root of 20363424 is about 273.0760431673.

Adding to 20363424 its reverse (42436302), we get a palindrome (62799726).

It can be divided in two parts, 2036 and 3424, that added together give a triangular number (5460 = T104).

The spelling of 20363424 in words is "twenty million, three hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 4933 9866 14799 19732 29598 39464 59196 78928 118392 157856 212119 236784 424238 473568 636357 848476 1272714 1696952 2545428 3393904 5090856 6787808 10181712 20363424