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920283820 = 225236132797
BaseRepresentation
bin110110110110100…
…110101010101100
32101010200021001221
4312312212222230
53341043040240
6231152513124
731543166131
oct6666465254
92333607057
10920283820
11432526945
1221824b7a4
13118879051
148a31a588
1555bd6a4a
hex36da6aac

920283820 has 48 divisors (see below), whose sum is σ = 2049743808. Its totient is φ = 346325760.

The previous prime is 920283817. The next prime is 920283823. The reversal of 920283820 is 28382029.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (920283817) and next prime (920283823).

It is not an unprimeable number, because it can be changed into a prime (920283823) 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 15 ways as a sum of consecutive naturals, for example, 11662 + ... + 44458.

It is an arithmetic number, because the mean of its divisors is an integer number (42702996).

Almost surely, 2920283820 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 920283820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024871904).

920283820 is an abundant number, since it is smaller than the sum of its proper divisors (1129459988).

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

920283820 is a wasteful number, since it uses less digits than its factorization.

920283820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32890 (or 32888 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 920283820 is about 30336.1800495712. The cubic root of 920283820 is about 972.6888304868.

The spelling of 920283820 in words is "nine hundred twenty million, two hundred eighty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 61 92 115 122 230 244 305 460 610 1220 1403 2806 5612 7015 14030 28060 32797 65594 131188 163985 327970 655940 754331 1508662 2000617 3017324 3771655 4001234 7543310 8002468 10003085 15086620 20006170 40012340 46014191 92028382 184056764 230070955 460141910 920283820