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40930110 = 234513323
BaseRepresentation
bin1001110000100…
…0101100111110
32212000110120000
42130020230332
540434230420
64021135130
71004620524
oct234105476
985013500
1040930110
1121116441
121185a4a6
138631000
145616314
1538d7690
hex2708b3e

40930110 has 160 divisors (see below), whose sum is σ = 124407360. Its totient is φ = 9637056.

The previous prime is 40930093. The next prime is 40930111. The reversal of 40930110 is 1103904.

40930110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×409301102 = 3350547809224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40930111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1779559 + ... + 1779581.

It is an arithmetic number, because the mean of its divisors is an integer number (777546).

Almost surely, 240930110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40930110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62203680).

40930110 is an abundant number, since it is smaller than the sum of its proper divisors (83477250).

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

40930110 is a wasteful number, since it uses less digits than its factorization.

40930110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 40930110 is about 6397.6644175824. The cubic root of 40930110 is about 344.6256809737.

The spelling of 40930110 in words is "forty million, nine hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 39 45 46 54 65 69 78 81 90 115 117 130 135 138 162 169 195 207 230 234 270 299 338 345 351 390 405 414 507 585 598 621 690 702 810 845 897 1014 1035 1053 1170 1242 1495 1521 1690 1755 1794 1863 2070 2106 2197 2535 2691 2990 3042 3105 3510 3726 3887 4394 4485 4563 5070 5265 5382 6210 6591 7605 7774 8073 8970 9126 9315 10530 10985 11661 13182 13455 13689 15210 16146 18630 19435 19773 21970 22815 23322 24219 26910 27378 32955 34983 38870 39546 40365 45630 48438 50531 58305 59319 65910 68445 69966 80730 98865 101062 104949 116610 118638 121095 136890 151593 174915 177957 197730 209898 242190 252655 296595 303186 314847 349830 355914 454779 505310 524745 593190 629694 757965 889785 909558 1049490 1364337 1515930 1574235 1779570 2273895 2728674 3148470 4093011 4547790 6821685 8186022 13643370 20465055 40930110