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1055666520 = 23345973359
BaseRepresentation
bin111110111011000…
…011000101011000
32201120102102020000
4332323003011120
54130222312040
6252430333000
735106005646
oct7673030530
92646372200
101055666520
114a1994977
1225565a160
1313a92a85c
14a02bc196
1562a2a130
hex3eec3158

1055666520 has 160 divisors (see below), whose sum is σ = 3585859200. Its totient is φ = 278525952.

The previous prime is 1055666503. The next prime is 1055666531. The reversal of 1055666520 is 256665501.

It is a happy number.

It is a super-2 number, since 2×10556665202 = 2228863602897820800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312601 + ... + 315959.

It is an arithmetic number, because the mean of its divisors is an integer number (22411620).

Almost surely, 21055666520 is an apocalyptic number.

1055666520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055666520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792929600).

1055666520 is an abundant number, since it is smaller than the sum of its proper divisors (2530192680).

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

1055666520 is a wasteful number, since it uses less digits than its factorization.

1055666520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 1055666520 is about 32491.0221445863. The cubic root of 1055666520 is about 1018.2214681239.

The spelling of 1055666520 in words is "one billion, fifty-five million, six hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 97 108 120 135 162 180 194 216 270 291 324 360 388 405 485 540 582 648 776 810 873 970 1080 1164 1455 1620 1746 1940 2328 2619 2910 3240 3359 3492 3880 4365 5238 5820 6718 6984 7857 8730 10077 10476 11640 13095 13436 15714 16795 17460 20154 20952 26190 26872 30231 31428 33590 34920 39285 40308 50385 52380 60462 62856 67180 78570 80616 90693 100770 104760 120924 134360 151155 157140 181386 201540 241848 272079 302310 314280 325823 362772 403080 453465 544158 604620 651646 725544 906930 977469 1088316 1209240 1303292 1360395 1629115 1813860 1954938 2176632 2606584 2720790 2932407 3258230 3627720 3909876 4887345 5441580 5864814 6516460 7819752 8797221 9774690 10883160 11729628 13032920 14662035 17594442 19549380 23459256 26391663 29324070 35188884 39098760 43986105 52783326 58648140 70377768 87972210 105566652 117296280 131958315 175944420 211133304 263916630 351888840 527833260 1055666520