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1055376000 = 2733537349
BaseRepresentation
bin111110111001111…
…100001010000000
32201112212122201000
4332321330022000
54130134013000
6252420212000
735103355650
oct7671741200
92645778630
101055376000
114a1806678
1225553a000
1313a858553
14a0244360
15629be000
hex3ee7c280

1055376000 has 512 divisors, whose sum is σ = 4455360000. Its totient is φ = 240537600.

The previous prime is 1055375983. The next prime is 1055376001. The reversal of 1055376000 is 6735501.

1055376000 is a `hidden beast` number, since 1 + 0 + 5 + 53 + 7 + 600 + 0 = 666.

1055376000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10553760002 = 2227637002752000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1055376001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3023826 + ... + 3024174.

It is an arithmetic number, because the mean of its divisors is an integer number (8701875).

Almost surely, 21055376000 is an apocalyptic number.

1055376000 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 1055376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227680000).

1055376000 is an abundant number, since it is smaller than the sum of its proper divisors (3399984000).

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

1055376000 is an equidigital number, since it uses as much as digits as its factorization.

1055376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 1055376000 is about 32486.5510634786. The cubic root of 1055376000 is about 1018.1280545204.

The spelling of 1055376000 in words is "one billion, fifty-five million, three hundred seventy-six thousand".