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1946985040 = 2457111341593
BaseRepresentation
bin111010000001100…
…1010001001010000
312000200121002101001
41310003022021100
512441412010130
6521110351344
766151046140
oct16403121120
95020532331
101946985040
1190a027750
1246405b554
132504a4870
14146818920
15b5dde6ca
hex740ca250

1946985040 has 320 divisors, whose sum is σ = 6236600832. Its totient is φ = 545587200.

The previous prime is 1946985037. The next prime is 1946985041. The reversal of 1946985040 is 405896491.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1946985041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3282984 + ... + 3283576.

Almost surely, 21946985040 is an apocalyptic number.

1946985040 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 1946985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118300416).

1946985040 is an abundant number, since it is smaller than the sum of its proper divisors (4289615792).

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

1946985040 is a wasteful number, since it uses less digits than its factorization.

1946985040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The square root of 1946985040 is about 44124.6534264010. The cubic root of 1946985040 is about 1248.6887668818.

The spelling of 1946985040 in words is "one billion, nine hundred forty-six million, nine hundred eighty-five thousand, forty".