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1074890817 = 3771113491
BaseRepresentation
bin100000000010001…
…1000100001000001
32202220121010000000
41000010120201001
54200133001232
6254354350213
735431264320
oct10004304101
92686533000
101074890817
11501825420
1225bb8b369
131418cbb90
14a2a840b7
156457627c
hex40118841

1074890817 has 128 divisors (see below), whose sum is σ = 2168893440. Its totient is φ = 514382400.

The previous prime is 1074890813. The next prime is 1074890833. The reversal of 1074890817 is 7180984701.

It is not a de Polignac number, because 1074890817 - 22 = 1074890813 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1074890813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2188942 + ... + 2189432.

It is an arithmetic number, because the mean of its divisors is an integer number (16944480).

Almost surely, 21074890817 is an apocalyptic number.

It is an amenable number.

1074890817 is an abundant number, since it is smaller than the sum of its proper divisors (1094002623).

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

1074890817 is an equidigital number, since it uses as much as digits as its factorization.

1074890817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The square root of 1074890817 is about 32785.5275540901. The cubic root of 1074890817 is about 1024.3651248309.

The spelling of 1074890817 in words is "one billion, seventy-four million, eight hundred ninety thousand, eight hundred seventeen".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 189 231 243 273 297 351 429 491 567 693 729 819 891 1001 1053 1287 1473 1701 2079 2187 2457 2673 3003 3159 3437 3861 4419 5103 5401 6237 6383 7371 8019 9009 9477 10311 11583 13257 15309 16203 18711 19149 22113 24057 27027 28431 30933 34749 37807 39771 44681 48609 56133 57447 66339 70213 81081 92799 104247 113421 119313 134043 145827 168399 172341 199017 210639 243243 278397 312741 340263 357939 402129 437481 491491 517023 631917 729729 835191 1020789 1073817 1206387 1312443 1474473 1551069 1895751 2189187 2505573 3062367 3619161 3937329 4423419 4653207 5687253 7516719 9187101 10857483 11811987 13270257 13959621 17061759 27561303 32572449 39810771 51185277 82683909 97717347 119432313 153555831 358296939 1074890817