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8530920 = 233452633
BaseRepresentation
bin100000100010…
…101111101000
3121001102020000
4200202233220
54140442140
6502503000
7132340326
oct40425750
917042200
108530920
1148a7452
122a34a60
1319c8ca8
1411c0d16
15b37a30
hex822be8

8530920 has 80 divisors (see below), whose sum is σ = 28684260. Its totient is φ = 2274048.

The previous prime is 8530913. The next prime is 8530927. The reversal of 8530920 is 290358.

It is an interprime number because it is at equal distance from previous prime (8530913) and next prime (8530927).

It can be written as a sum of positive squares in 2 ways, for example, as 7986276 + 544644 = 2826^2 + 738^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8530927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1924 + ... + 4556.

Almost surely, 28530920 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 8530920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342130).

8530920 is an abundant number, since it is smaller than the sum of its proper divisors (20153340).

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

8530920 is a wasteful number, since it uses less digits than its factorization.

8530920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 8530920 is about 2920.7738700557. The cubic root of 8530920 is about 204.3299159876.

The spelling of 8530920 in words is "eight million, five hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 2633 3240 5266 7899 10532 13165 15798 21064 23697 26330 31596 39495 47394 52660 63192 71091 78990 94788 105320 118485 142182 157980 189576 213273 236970 284364 315960 355455 426546 473940 568728 710910 853092 947880 1066365 1421820 1706184 2132730 2843640 4265460 8530920