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110042040 = 233547109179
BaseRepresentation
bin1101000111100…
…01101110111000
321200001201022010
412203301232320
5211132321130
614530325520
72504225163
oct643615670
9250051263
10110042040
1157130239
1230a298a0
1319a4b544
1410886ada
1599da0b0
hex68f1bb8

110042040 has 128 divisors (see below), whose sum is σ = 342144000. Its totient is φ = 28297728.

The previous prime is 110042039. The next prime is 110042059. The reversal of 110042040 is 40240011.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 614671 + ... + 614849.

It is an arithmetic number, because the mean of its divisors is an integer number (2673000).

Almost surely, 2110042040 is an apocalyptic number.

110042040 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 110042040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171072000).

110042040 is an abundant number, since it is smaller than the sum of its proper divisors (232101960).

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

110042040 is a wasteful number, since it uses less digits than its factorization.

110042040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 110042040 is about 10490.0924686106. The cubic root of 110042040 is about 479.2030177169.

Adding to 110042040 its reverse (40240011), we get a palindrome (150282051).

The spelling of 110042040 in words is "one hundred ten million, forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 109 120 141 179 188 218 235 282 327 358 376 436 470 537 545 564 654 705 716 872 895 940 1074 1090 1128 1308 1410 1432 1635 1790 1880 2148 2180 2616 2685 2820 3270 3580 4296 4360 5123 5370 5640 6540 7160 8413 10246 10740 13080 15369 16826 19511 20492 21480 25239 25615 30738 33652 39022 40984 42065 50478 51230 58533 61476 67304 76845 78044 84130 97555 100956 102460 117066 122952 126195 153690 156088 168260 195110 201912 204920 234132 252390 292665 307380 336520 390220 468264 504780 585330 614760 780440 917017 1009560 1170660 1834034 2341320 2751051 3668068 4585085 5502102 7336136 9170170 11004204 13755255 18340340 22008408 27510510 36680680 55021020 110042040