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1055405169 = 3274132172
BaseRepresentation
bin111110111010000…
…011010001110001
32201112221010201100
4332322003101301
54130140431134
6252420555013
735103540000
oct7672032161
92645833640
101055405169
114a1826585
12255552a69
1313a868900
14a0250c37
15629c7999
hex3ee83471

1055405169 has 135 divisors (see below), whose sum is σ = 2045718753. Its totient is φ = 523950336.

The previous prime is 1055405167. The next prime is 1055405171. The reversal of 1055405169 is 9615045501.

The square root of 1055405169 is 32487.

It is a perfect power (a square), and thus also a powerful number.

1055405169 is a `hidden beast` number, since 1 + 0 + 5 + 540 + 51 + 69 = 666.

It is an interprime number because it is at equal distance from previous prime (1055405167) and next prime (1055405171).

It can be written as a sum of positive squares in 4 ways, for example, as 9529569 + 1045875600 = 3087^2 + 32340^2 .

It is not a de Polignac number, because 1055405169 - 21 = 1055405167 is a prime.

It is a super-2 number, since 2×10554051692 = 2227760141503837122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055405167) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 62082649 + ... + 62082665.

Almost surely, 21055405169 is an apocalyptic number.

1055405169 is the 32487-th square number.

1055405169 is the 16244-th centered octagonal number.

It is an amenable number.

1055405169 is a deficient number, since it is larger than the sum of its proper divisors (990313584).

1055405169 is an equidigital number, since it uses as much as digits as its factorization.

1055405169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The cubic root of 1055405169 is about 1018.1374342750.

Multiplying 1055405169 by its sum of digits (36), we get a square (37994586084 = 1949222).

The spelling of 1055405169 in words is "one billion, fifty-five million, four hundred five thousand, one hundred sixty-nine".

Divisors: 1 3 7 9 13 17 21 39 49 51 63 91 117 119 147 153 169 221 273 289 343 357 441 507 637 663 819 833 867 1029 1071 1183 1521 1547 1911 1989 2023 2401 2499 2601 2873 3087 3549 3757 4459 4641 5733 5831 6069 7203 7497 8281 8619 10647 10829 11271 13377 13923 14161 17493 18207 20111 21609 24843 25857 26299 31213 32487 33813 40131 40817 42483 48841 52479 57967 60333 74529 75803 78897 93639 97461 99127 122451 127449 140777 146523 173901 180999 184093 227409 236691 280917 297381 341887 367353 405769 422331 439569 521703 530621 552279 682227 693889 892143 985439 1025661 1217307 1266993 1288651 1591863 1656837 2081667 2393209 2956317 3076983 3651921 3865953 4775589 6245001 6898073 7179627 8868951 9020557 11597859 16752463 20694219 21538881 27061671 50257389 62082657 81185013 117267241 150772167 351801723 1055405169