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1055720512 = 26711593631
BaseRepresentation
bin111110111011010…
…000010001000000
32201120112011021201
4332323100101000
54130231024022
6252431430544
735106322240
oct7673202100
92646464251
101055720512
114a1a214a0
12255685454
1313a9492c2
14a02d3b20
1562a3b127
hex3eed0440

1055720512 has 112 divisors (see below), whose sum is σ = 2656880640. Its totient is φ = 404236800.

The previous prime is 1055720507. The next prime is 1055720543. The reversal of 1055720512 is 2150275501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10557205122 = 2229091598915084288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288937 + ... + 292567.

Almost surely, 21055720512 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 1055720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328440320).

1055720512 is an abundant number, since it is smaller than the sum of its proper divisors (1601160128).

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

1055720512 is a wasteful number, since it uses less digits than its factorization.

1055720512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3720 (or 3710 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 1055720512 is about 32491.8530096392. The cubic root of 1055720512 is about 1018.2388267863.

The spelling of 1055720512 in words is "one billion, fifty-five million, seven hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 59 64 77 88 112 118 154 176 224 236 308 352 413 448 472 616 649 704 826 944 1232 1298 1652 1888 2464 2596 3304 3631 3776 4543 4928 5192 6608 7262 9086 10384 13216 14524 18172 20768 25417 26432 29048 36344 39941 41536 50834 58096 72688 79882 101668 116192 145376 159764 203336 214229 232384 279587 290752 319528 406672 428458 559174 639056 813344 856916 1118348 1278112 1499603 1626688 1713832 2236696 2356519 2556224 2999206 3427664 4473392 4713038 5998412 6855328 8946784 9426076 11996824 13710656 16495633 17893568 18852152 23993648 32991266 37704304 47987296 65982532 75408608 95974592 131965064 150817216 263930128 527860256 1055720512