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1047427920 = 2432572112699
BaseRepresentation
bin111110011011100…
…111101101010000
32200222220211222200
4332123213231100
54121120143140
6251534003200
734645663500
oct7633475520
92628824880
101047427920
11498278110
12252946500
13139004946
149d175a00
1561e4e030
hex3e6e7b50

1047427920 has 360 divisors, whose sum is σ = 4465562400. Its totient is φ = 217566720.

The previous prime is 1047427903. The next prime is 1047427939. The reversal of 1047427920 is 297247401.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 386731 + ... + 389429.

It is an arithmetic number, because the mean of its divisors is an integer number (12404340).

Almost surely, 21047427920 is an apocalyptic number.

1047427920 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 1047427920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232781200).

1047427920 is an abundant number, since it is smaller than the sum of its proper divisors (3418134480).

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

1047427920 is a wasteful number, since it uses less digits than its factorization.

1047427920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1047427920 is about 32363.9911012224. The cubic root of 1047427920 is about 1015.5657567273.

The spelling of 1047427920 in words is "one billion, forty-seven million, four hundred twenty-seven thousand, nine hundred twenty".