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1105474040 = 2351173127271
BaseRepresentation
bin100000111100100…
…0011000111111000
32212001010220021222
41001321003013320
54231000132130
6301410051212
736252242246
oct10171030770
92761126258
101105474040
11518014010
1226a279b08
13148049468
14a6b65796
15670b7ce5
hex41e431f8

1105474040 has 128 divisors (see below), whose sum is σ = 2782494720. Its totient is φ = 391910400.

The previous prime is 1105474039. The next prime is 1105474063. The reversal of 1105474040 is 404745011.

It is a super-2 number, since 2×11054740402 = 2444145706227843200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4079105 + ... + 4079375.

It is an arithmetic number, because the mean of its divisors is an integer number (21738240).

Almost surely, 21105474040 is an apocalyptic number.

1105474040 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 1105474040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391247360).

1105474040 is an abundant number, since it is smaller than the sum of its proper divisors (1677020680).

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

1105474040 is a wasteful number, since it uses less digits than its factorization.

1105474040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 1105474040 is about 33248.6697478260. The cubic root of 1105474040 is about 1033.9896290988.

The spelling of 1105474040 in words is "one billion, one hundred five million, four hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 127 146 220 254 271 292 365 440 508 542 584 635 730 803 1016 1084 1270 1355 1397 1460 1606 2168 2540 2710 2794 2920 2981 3212 4015 5080 5420 5588 5962 6424 6985 8030 9271 10840 11176 11924 13970 14905 16060 18542 19783 23848 27940 29810 32120 34417 37084 39566 46355 55880 59620 68834 74168 79132 92710 98915 101981 119240 137668 158264 172085 185420 197830 203962 217613 275336 344170 370840 378587 395660 407924 435226 509905 688340 757174 791320 815848 870452 1019810 1088065 1376680 1514348 1740904 1892935 2039620 2176130 2512441 3028696 3785870 4079240 4352260 5024882 7571740 8704520 10049764 12562205 15143480 20099528 25124410 27636851 50248820 55273702 100497640 110547404 138184255 221094808 276368510 552737020 1105474040