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1055579120 = 24529454991
BaseRepresentation
bin111110111010101…
…101101111110000
32201120020222022222
4332322231233300
54130212012440
6252424420212
735105163101
oct7672555760
92646228288
101055579120
114a1935242
12255617668
1313a8c9b3b
14a02983a8
1562a0e2b5
hex3eeadbf0

1055579120 has 40 divisors (see below), whose sum is σ = 2538855360. Its totient is φ = 407671040.

The previous prime is 1055579117. The next prime is 1055579131. The reversal of 1055579120 is 219755501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10555791202 = 2228494557159948800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 225176 + ... + 229815.

It is an arithmetic number, because the mean of its divisors is an integer number (63471384).

Almost surely, 21055579120 is an apocalyptic number.

1055579120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1055579120 is an abundant number, since it is smaller than the sum of its proper divisors (1483276240).

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

1055579120 is a wasteful number, since it uses less digits than its factorization.

1055579120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455033 (or 455027 counting only the distinct ones).

The product of its (nonzero) digits is 15750, while the sum is 35.

The square root of 1055579120 is about 32489.6771298208. The cubic root of 1055579120 is about 1018.1933673899.

The spelling of 1055579120 in words is "one billion, fifty-five million, five hundred seventy-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 454991 909982 1819964 2274955 3639928 4549910 7279856 9099820 13194739 18199640 26389478 36399280 52778956 65973695 105557912 131947390 211115824 263894780 527789560 1055579120