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920183040 = 28325711411
BaseRepresentation
bin110110110110001…
…110000100000000
32101010111010211100
4312312032010000
53341031324130
6231150414400
731542266250
oct6666160400
92333433740
10920183040
11432468157
12218201400
1311884220a
148a2d1960
1555bb6c60
hex36d8e100

920183040 has 216 divisors, whose sum is σ = 3638875968. Its totient is φ = 210309120.

The previous prime is 920183029. The next prime is 920183041. The reversal of 920183040 is 40381029.

It is a junction number, because it is equal to n+sod(n) for n = 920182995 and 920183013.

It is not an unprimeable number, because it can be changed into a prime (920183041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74935 + ... + 86345.

It is an arithmetic number, because the mean of its divisors is an integer number (16846648).

Almost surely, 2920183040 is an apocalyptic number.

920183040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920183040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819437984).

920183040 is an abundant number, since it is smaller than the sum of its proper divisors (2718692928).

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

920183040 is a wasteful number, since it uses less digits than its factorization.

920183040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 920183040 is about 30334.5189511883. The cubic root of 920183040 is about 972.6533229050.

The spelling of 920183040 in words is "nine hundred twenty million, one hundred eighty-three thousand, forty".