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40600116 = 2234292149
BaseRepresentation
bin1001101011100…
…0001000110100
32211101200220000
42122320020310
540343200431
64010111300
71002044454
oct232701064
984350800
1040600116
1120a10517
121171b530
138546a4b
14556bd64
15386e9e6
hex26b8234

40600116 has 90 divisors (see below), whose sum is σ = 110660550. Its totient is φ = 12979008.

The previous prime is 40600103. The next prime is 40600121. The reversal of 40600116 is 61100604.

It can be written as a sum of positive squares in 3 ways, for example, as 1587600 + 39012516 = 1260^2 + 6246^2 .

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

It is a congruent number.

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 29 ways as a sum of consecutive naturals, for example, 272410 + ... + 272558.

Almost surely, 240600116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40600116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55330275).

40600116 is an abundant number, since it is smaller than the sum of its proper divisors (70060434).

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

40600116 is a wasteful number, since it uses less digits than its factorization.

40600116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40600116 is about 6371.8220314130. The cubic root of 40600116 is about 343.6970132764.

The spelling of 40600116 in words is "forty million, six hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 149 162 174 261 298 324 348 447 522 596 783 841 894 1044 1341 1566 1682 1788 2349 2523 2682 3132 3364 4023 4321 4698 5046 5364 7569 8046 8642 9396 10092 12069 12963 15138 16092 17284 22707 24138 25926 30276 38889 45414 48276 51852 68121 77778 90828 116667 125309 136242 155556 233334 250618 272484 350001 375927 466668 501236 700002 751854 1127781 1400004 1503708 2255562 3383343 4511124 6766686 10150029 13533372 20300058 40600116