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1056460080 = 243513338609
BaseRepresentation
bin111110111110000…
…100110100110000
32201121220201210010
4332332010310300
54130423210310
6252455334520
735115522354
oct7676046460
92647821703
101056460080
114a2387105
12255981440
1313ab47b10
14a0447464
1562b35320
hex3ef84d30

1056460080 has 80 divisors (see below), whose sum is σ = 3526961760. Its totient is φ = 260050944.

The previous prime is 1056460073. The next prime is 1056460091. The reversal of 1056460080 is 800646501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10564600802 = 2232215801267212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166185 + ... + 172424.

It is an arithmetic number, because the mean of its divisors is an integer number (44087022).

Almost surely, 21056460080 is an apocalyptic number.

1056460080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056460080 is an abundant number, since it is smaller than the sum of its proper divisors (2470501680).

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

1056460080 is a wasteful number, since it uses less digits than its factorization.

1056460080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338638 (or 338632 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1056460080 is about 32503.2318393110. The cubic root of 1056460080 is about 1018.4765415556.

The spelling of 1056460080 in words is "one billion, fifty-six million, four hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 338609 677218 1015827 1354436 1693045 2031654 2708872 3386090 4063308 4401917 5079135 5417744 6772180 8126616 8803834 10158270 13205751 13544360 16253232 17607668 20316540 22009585 26411502 27088720 35215336 40633080 44019170 52823004 66028755 70430672 81266160 88038340 105646008 132057510 176076680 211292016 264115020 352153360 528230040 1056460080