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1055619840 = 28351167373
BaseRepresentation
bin111110111010110…
…111101100000000
32201120100001012010
4332322313230000
54130214313330
6252425332520
735105422602
oct7672675400
92646301163
101055619840
114a19628a0
12255637140
1313a912532
14a02a9172
1562a1b3b0
hex3eeb7b00

1055619840 has 288 divisors, whose sum is σ = 3742776576. Its totient is φ = 251412480.

The previous prime is 1055619797. The next prime is 1055619889. The reversal of 1055619840 is 489165501.

It is a super-2 number, since 2×10556198402 = 2228666493203251200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829894 + ... + 2830266.

It is an arithmetic number, because the mean of its divisors is an integer number (12995752).

Almost surely, 21055619840 is an apocalyptic number.

1055619840 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 1055619840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1871388288).

1055619840 is an abundant number, since it is smaller than the sum of its proper divisors (2687156736).

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

1055619840 is a wasteful number, since it uses less digits than its factorization.

1055619840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 1055619840 is about 32490.3037843600. The cubic root of 1055619840 is about 1018.2064598242.

The spelling of 1055619840 in words is "one billion, fifty-five million, six hundred nineteen thousand, eight hundred forty".