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1485641920 = 26571967521
BaseRepresentation
bin101100010001101…
…0001100011000000
310211112111102120211
41120203101203000
511020311020140
6403230243504
751546514360
oct13043214300
93745442524
101485641920
116a2673844
12355656594
131a8a35b79
141014469a0
158a6602ea
hex588d18c0

1485641920 has 224 divisors, whose sum is σ = 4327672320. Its totient is φ = 474439680.

The previous prime is 1485641909. The next prime is 1485641933. The reversal of 1485641920 is 291465841.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×14856419202 = 4414263828922572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2851260 + ... + 2851780.

Almost surely, 21485641920 is an apocalyptic number.

1485641920 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 1485641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163836160).

1485641920 is an abundant number, since it is smaller than the sum of its proper divisors (2842030400).

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

1485641920 is a wasteful number, since it uses less digits than its factorization.

1485641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1485641920 is about 38544.0257368117. The cubic root of 1485641920 is about 1141.0501045299.

The spelling of 1485641920 in words is "one billion, four hundred eighty-five million, six hundred forty-one thousand, nine hundred twenty".