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182831040 = 2633573023
BaseRepresentation
bin10101110010111…
…00011111000000
3110202000210001000
422321130133000
5333301043130
630050412000
74350016050
oct1271343700
9422023030
10182831040
1194226737
1251291000
132bb55662
141a3d3560
15110b7260
hexae5c7c0

182831040 has 224 divisors, whose sum is σ = 737372160. Its totient is φ = 41776128.

The previous prime is 182831017. The next prime is 182831059. The reversal of 182831040 is 40138281.

182831040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 182830995 and 182831013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58969 + ... + 61991.

It is an arithmetic number, because the mean of its divisors is an integer number (3291840).

Almost surely, 2182831040 is an apocalyptic number.

182831040 is a gapful number since it is divisible by the number (10) 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 182831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368686080).

182831040 is an abundant number, since it is smaller than the sum of its proper divisors (554541120).

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

182831040 is a wasteful number, since it uses less digits than its factorization.

182831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3056 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 182831040 is about 13521.5028750505. The cubic root of 182831040 is about 567.5663555186.

The spelling of 182831040 in words is "one hundred eighty-two million, eight hundred thirty-one thousand, forty".