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1669487040 = 2632513174361
BaseRepresentation
bin110001110000010…
…0101100111000000
311022100102201200100
41203200211213000
511404342041130
6433354522400
756241256104
oct14340454700
94270381610
101669487040
11787422361
123a7136400
13207b54c70
1411ba21904
159b877c60
hex638259c0

1669487040 has 672 divisors, whose sum is σ = 6809939136. Its totient is φ = 371589120.

The previous prime is 1669487021. The next prime is 1669487059. The reversal of 1669487040 is 407849661.

1669487040 is a `hidden beast` number, since 166 + 9 + 487 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1669487021) and next prime (1669487059).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27368610 + ... + 27368670.

It is an arithmetic number, because the mean of its divisors is an integer number (10133838).

Almost surely, 21669487040 is an apocalyptic number.

1669487040 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 1669487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404969568).

1669487040 is an abundant number, since it is smaller than the sum of its proper divisors (5140452096).

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

1669487040 is a wasteful number, since it uses less digits than its factorization.

1669487040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1669487040 is about 40859.3568231317. The cubic root of 1669487040 is about 1186.2995090749.

The spelling of 1669487040 in words is "one billion, six hundred sixty-nine million, four hundred eighty-seven thousand, forty".