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920561328 = 24332130929
BaseRepresentation
bin110110110111101…
…010011010110000
32101011012100202000
4312313222122300
53341130430303
6231202454000
731545433161
oct6667523260
92334170660
10920561328
114326a6395
12218364300
1311894545b
148a38d768
1555c3dda3
hex36dea6b0

920561328 has 40 divisors (see below), whose sum is σ = 2642353200. Its totient is φ = 306853632.

The previous prime is 920561321. The next prime is 920561333. The reversal of 920561328 is 823165029.

920561328 is a `hidden beast` number, since 92 + 0 + 561 + 3 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 920561292 and 920561301.

It is not an unprimeable number, because it can be changed into a prime (920561321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1065033 + ... + 1065896.

It is an arithmetic number, because the mean of its divisors is an integer number (66058830).

Almost surely, 2920561328 is an apocalyptic number.

It is an amenable number.

920561328 is an abundant number, since it is smaller than the sum of its proper divisors (1721791872).

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

920561328 is a wasteful number, since it uses less digits than its factorization.

920561328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130946 (or 2130934 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 920561328 is about 30340.7535832583. The cubic root of 920561328 is about 972.7865908366.

The spelling of 920561328 in words is "nine hundred twenty million, five hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2130929 4261858 6392787 8523716 12785574 17047432 19178361 25571148 34094864 38356722 51142296 57535083 76713444 102284592 115070166 153426888 230140332 306853776 460280664 920561328