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1055533680 = 243852011
BaseRepresentation
bin111110111010100…
…010101001110000
32201120011200000000
4332322202221300
54130204034210
6252423430000
735104613445
oct7672425160
92646150000
101055533680
114a1904093
122555b5300
1313a8b2256
14a02859cc
1562a00ac0
hex3eea2a70

1055533680 has 180 divisors, whose sum is σ = 3682817112. Its totient is φ = 281335680.

The previous prime is 1055533667. The next prime is 1055533697. The reversal of 1055533680 is 863355501.

1055533680 is a `hidden beast` number, since 10 + 55 + 533 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10555336802 = 2228302699228684800, 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 35 ways as a sum of consecutive naturals, for example, 523875 + ... + 525885.

Almost surely, 21055533680 is an apocalyptic number.

1055533680 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 1055533680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841408556).

1055533680 is an abundant number, since it is smaller than the sum of its proper divisors (2627283432).

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

1055533680 is an frugal number, since it uses more digits than its factorization.

1055533680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1055533680 is about 32488.9778232557. The cubic root of 1055533680 is about 1018.1787569675.

The spelling of 1055533680 in words is "one billion, fifty-five million, five hundred thirty-three thousand, six hundred eighty".