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1990410240 = 2143571389
BaseRepresentation
bin111011010100011…
…0100000000000000
312010201022022112210
41312220310000000
513034021111430
6525301222120
7100216131210
oct16650640000
95121268483
101990410240
11931597745
12476701940
1325949a450
1414c4c0240
15b9b1b2b0
hex76a34000

1990410240 has 480 divisors, whose sum is σ = 7926992640. Its totient is φ = 415236096.

The previous prime is 1990410239. The next prime is 1990410241. The reversal of 1990410240 is 420140991.

It is an interprime number because it is at equal distance from previous prime (1990410239) and next prime (1990410241).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1990410198 and 1990410207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990410241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22364116 + ... + 22364204.

It is an arithmetic number, because the mean of its divisors is an integer number (16514568).

Almost surely, 21990410240 is an apocalyptic number.

1990410240 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 1990410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963496320).

1990410240 is an abundant number, since it is smaller than the sum of its proper divisors (5936582400).

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

1990410240 is an equidigital number, since it uses as much as digits as its factorization.

1990410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1990410240 is about 44614.0139418098. The cubic root of 1990410240 is about 1257.9040993585.

The spelling of 1990410240 in words is "one billion, nine hundred ninety million, four hundred ten thousand, two hundred forty".