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1601994240 = 29335721143
BaseRepresentation
bin101111101111100…
…0111111000000000
311010122102201222000
41133133013320000
511240102303430
6422544144000
754461504100
oct13737077000
94118381860
101601994240
11752313a90
12388608000
131c6b836b2
14112a93200
1595994e60
hex5f7c7e00

1601994240 has 960 divisors, whose sum is σ = 7389169920. Its totient is φ = 325140480.

The previous prime is 1601994227. The next prime is 1601994281. The reversal of 1601994240 is 424991061.

It is a happy number.

1601994240 is a `hidden beast` number, since 1 + 601 + 9 + 9 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1601994195 and 1601994204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37255659 + ... + 37255701.

It is an arithmetic number, because the mean of its divisors is an integer number (7697052).

Almost surely, 21601994240 is an apocalyptic number.

1601994240 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 1601994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694584960).

1601994240 is an abundant number, since it is smaller than the sum of its proper divisors (5787175680).

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

1601994240 is a wasteful number, since it uses less digits than its factorization.

1601994240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1601994240 is about 40024.9202372722. The cubic root of 1601994240 is about 1170.0928262972.

The spelling of 1601994240 in words is "one billion, six hundred one million, nine hundred ninety-four thousand, two hundred forty".