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1055355104 = 25173315861
BaseRepresentation
bin111110111001110…
…111000011100000
32201112211121001002
4332321313003200
54130132330404
6252415531132
735103241016
oct7671670340
92645747032
101055355104
114a17a1a01
12255529aa8
1313a84bb9b
14a023a8b6
15629b7c1e
hex3ee770e0

1055355104 has 48 divisors (see below), whose sum is σ = 2206972656. Its totient is φ = 495052800.

The previous prime is 1055355101. The next prime is 1055355131. The reversal of 1055355104 is 4015535501.

It is a super-2 number, since 2×10553551042 = 2227548791077701632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055355101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 177134 + ... + 182994.

It is an arithmetic number, because the mean of its divisors is an integer number (45978597).

Almost surely, 21055355104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055355104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103486328).

1055355104 is an abundant number, since it is smaller than the sum of its proper divisors (1151617552).

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

1055355104 is a wasteful number, since it uses less digits than its factorization.

1055355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6219 (or 6211 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The square root of 1055355104 is about 32486.2294518770. The cubic root of 1055355104 is about 1018.1213349740.

The spelling of 1055355104 in words is "one billion, fifty-five million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 331 544 662 1324 2648 5296 5627 5861 10592 11254 11722 22508 23444 45016 46888 90032 93776 99637 180064 187552 199274 398548 797096 1594192 1939991 3188384 3879982 7759964 15519928 31039856 32979847 62079712 65959694 131919388 263838776 527677552 1055355104