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40113066 = 23721943167
BaseRepresentation
bin1001100100000…
…1001110101010
32210110221210010
42121001032222
540232104231
63551432350
7664645500
oct231011652
983427703
1040113066
11207085a4
12115256b6
138406156
145482670
1537c5546
hex26413aa

40113066 has 96 divisors (see below), whose sum is σ = 101122560. Its totient is φ = 10541664.

The previous prime is 40113053. The next prime is 40113131. The reversal of 40113066 is 66031104.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240115 + ... + 240281.

It is an arithmetic number, because the mean of its divisors is an integer number (1053360).

Almost surely, 240113066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40113066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50561280).

40113066 is an abundant number, since it is smaller than the sum of its proper divisors (61009494).

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

40113066 is a wasteful number, since it uses less digits than its factorization.

40113066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 40113066 is about 6333.4876647863. The cubic root of 40113066 is about 342.3171197647.

The spelling of 40113066 in words is "forty million, one hundred thirteen thousand, sixty-six".

Divisors: 1 2 3 6 7 14 19 21 38 42 43 49 57 86 98 114 129 133 147 167 258 266 294 301 334 399 501 602 798 817 903 931 1002 1169 1634 1806 1862 2107 2338 2451 2793 3173 3507 4214 4902 5586 5719 6321 6346 7014 7181 8183 9519 11438 12642 14362 16366 17157 19038 21543 22211 24549 34314 40033 43086 44422 49098 50267 66633 80066 100534 120099 133266 136439 150801 155477 240198 272878 301602 310954 351869 409317 466431 703738 818634 932862 955073 1055607 1910146 2111214 2865219 5730438 6685511 13371022 20056533 40113066