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928813020 = 2235175091789
BaseRepresentation
bin110111010111001…
…000111111011100
32101201201120221020
4313113020333130
53400234004040
6232055404140
732005531452
oct6727107734
92351646836
10928813020
11437321a73
1221b083650
1311a574305
148b4da9d2
155681dcd0
hex375c8fdc

928813020 has 96 divisors (see below), whose sum is σ = 2760609600. Its totient is φ = 232525824.

The previous prime is 928813001. The next prime is 928813021. The reversal of 928813020 is 20318829.

It is a super-2 number, since 2×9288130202 = 1725387252243040800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928813021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 518286 + ... + 520074.

It is an arithmetic number, because the mean of its divisors is an integer number (28756350).

Almost surely, 2928813020 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 928813020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380304800).

928813020 is an abundant number, since it is smaller than the sum of its proper divisors (1831796580).

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

928813020 is a wasteful number, since it uses less digits than its factorization.

928813020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 928813020 is about 30476.4338464985. The cubic root of 928813020 is about 975.6845580422.

The spelling of 928813020 in words is "nine hundred twenty-eight million, eight hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 509 510 1018 1020 1527 1789 2036 2545 3054 3578 5090 5367 6108 7156 7635 8653 8945 10180 10734 15270 17306 17890 21468 25959 26835 30413 30540 34612 35780 43265 51918 53670 60826 86530 91239 103836 107340 121652 129795 152065 173060 182478 259590 304130 364956 456195 519180 608260 910601 912390 1821202 1824780 2731803 3642404 4553005 5463606 9106010 10927212 13659015 15480217 18212020 27318030 30960434 46440651 54636060 61920868 77401085 92881302 154802170 185762604 232203255 309604340 464406510 928813020