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992040 = 233571181
BaseRepresentation
bin11110010001100101000
31212101211020
43302030220
5223221130
633132440
711301150
oct3621450
91771736
10992040
11618375
123ba120
1328970a
141bb760
15148e10
hexf2328

992040 has 64 divisors (see below), whose sum is σ = 3404160. Its totient is φ = 226560.

The previous prime is 992023. The next prime is 992051. The reversal of 992040 is 40299.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 992040.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 992040.

It is an unprimeable number.

992040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250 + ... + 1430.

It is an arithmetic number, because the mean of its divisors is an integer number (53190).

2992040 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 992040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702080).

992040 is an abundant number, since it is smaller than the sum of its proper divisors (2412120).

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

992040 is a wasteful number, since it uses less digits than its factorization.

992040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 992040 is about 996.0120481199. The cubic root of 992040 is about 99.7339595189.

Subtracting from 992040 its sum of digits (24), we obtain a square (992016 = 9962).

The spelling of 992040 in words is "nine hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1181 2362 3543 4724 5905 7086 8267 9448 11810 14172 16534 17715 23620 24801 28344 33068 35430 41335 47240 49602 66136 70860 82670 99204 124005 141720 165340 198408 248010 330680 496020 992040