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40680016 = 2413257761
BaseRepresentation
bin1001101100101…
…1101001010000
32211112202111021
42123023221100
540403230031
64011525224
71002526426
oct233135120
984482437
1040680016
1120a65553
1211759814
138574220
14558d116
153888511
hex26cba50

40680016 has 40 divisors (see below), whose sum is σ = 85322664. Its totient is φ = 18677760.

The previous prime is 40680001. The next prime is 40680019. The reversal of 40680016 is 61008604.

It can be written as a sum of positive squares in 4 ways, for example, as 1040400 + 39639616 = 1020^2 + 6296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40680019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53076 + ... + 53836.

Almost surely, 240680016 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 40680016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42661332).

40680016 is an abundant number, since it is smaller than the sum of its proper divisors (44642648).

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

40680016 is a wasteful number, since it uses less digits than its factorization.

40680016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 40680016 is about 6378.0887419352. The cubic root of 40680016 is about 343.9223278756.

The spelling of 40680016 in words is "forty million, six hundred eighty thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 257 514 761 1028 1522 2056 3044 3341 4112 6088 6682 9893 12176 13364 19786 26728 39572 53456 79144 158288 195577 391154 782308 1564616 2542501 3129232 5085002 10170004 20340008 40680016