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1660669920 = 25325713192329
BaseRepresentation
bin110001011111011…
…1100111111100000
311021201211202212100
41202332330333200
511400112414140
6432441530400
756103314160
oct14276747740
94251752770
101660669920
1178244a988
123a41a3a00
13206088930
1411a7a85a0
159abd5530
hex62fbcfe0

1660669920 has 1152 divisors, whose sum is σ = 7925299200. Its totient is φ = 306561024.

The previous prime is 1660669909. The next prime is 1660669921. The reversal of 1660669920 is 299660661.

1660669920 is a `hidden beast` number, since 16 + 606 + 6 + 9 + 9 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1660669921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57264466 + ... + 57264494.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 21660669920 is an apocalyptic number.

1660669920 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 1660669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

1660669920 is an abundant number, since it is smaller than the sum of its proper divisors (6264629280).

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

1660669920 is a wasteful number, since it uses less digits than its factorization.

1660669920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1660669920 is about 40751.3180154949. The cubic root of 1660669920 is about 1184.2074067505.

The spelling of 1660669920 in words is "one billion, six hundred sixty million, six hundred sixty-nine thousand, nine hundred twenty".