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20045328 = 2432367271
BaseRepresentation
bin100110001110…
…1111000010000
31101201102000120
41030131320100
520112422303
61553350240
7332245122
oct114357020
941642016
1020045328
1110351396
126868380
1341cac54
14293b212
151b5e553
hex131de10

20045328 has 80 divisors (see below), whose sum is σ = 55044096. Its totient is φ = 6272640.

The previous prime is 20045327. The next prime is 20045339. The reversal of 20045328 is 82354002.

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 = 20045298 and 20045307.

It is not an unprimeable number, because it can be changed into a prime (20045321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 73833 + ... + 74103.

Almost surely, 220045328 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 20045328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27522048).

20045328 is an abundant number, since it is smaller than the sum of its proper divisors (34998768).

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

20045328 is a wasteful number, since it uses less digits than its factorization.

20045328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20045328 is about 4477.2009112837. The cubic root of 20045328 is about 271.6466721372.

The spelling of 20045328 in words is "twenty million, forty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 67 69 92 134 138 184 201 268 271 276 368 402 536 542 552 804 813 1072 1084 1104 1541 1608 1626 2168 3082 3216 3252 4336 4623 6164 6233 6504 9246 12328 12466 13008 18157 18492 18699 24656 24932 36314 36984 37398 49864 54471 72628 73968 74796 99728 108942 145256 149592 217884 290512 299184 417611 435768 835222 871536 1252833 1670444 2505666 3340888 5011332 6681776 10022664 20045328