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1055807424 = 26327318447
BaseRepresentation
bin111110111011100…
…101011111000000
32201120200120111200
4332323211133000
54130241314144
6252433341200
735110133520
oct7673453700
92646616450
101055807424
114a1a80821
12255707800
1313a979a29
14a0317680
1562a56c69
hex3eee57c0

1055807424 has 168 divisors, whose sum is σ = 3570597888. Its totient is φ = 291893760.

The previous prime is 1055807411. The next prime is 1055807449. The reversal of 1055807424 is 4247085501.

1055807424 is a `hidden beast` number, since 1 + 0 + 5 + 580 + 74 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10558074242 = 2229458633147031552, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 120769 + ... + 129215.

Almost surely, 21055807424 is an apocalyptic number.

1055807424 is a gapful number since it is divisible by the number (14) 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 1055807424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785298944).

1055807424 is an abundant number, since it is smaller than the sum of its proper divisors (2514790464).

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

1055807424 is a wasteful number, since it uses less digits than its factorization.

1055807424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8503 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1055807424 is about 32493.1904250721. The cubic root of 1055807424 is about 1018.2667681286.

The spelling of 1055807424 in words is "one billion, fifty-five million, eight hundred seven thousand, four hundred twenty-four".