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40679430 = 23511131941
BaseRepresentation
bin1001101100101…
…1100000000110
32211112201200120
42123023200012
540403220210
64011522410
71002524631
oct233134006
984481616
1040679430
1120a65070
1211759406
138573b8c
14558cc18
153888270
hex26cb806

40679430 has 64 divisors (see below), whose sum is σ = 107433216. Its totient is φ = 9776000.

The previous prime is 40679423. The next prime is 40679447. The reversal of 40679430 is 3497604.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40679391 and 40679400.

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 31 ways as a sum of consecutive naturals, for example, 42760 + ... + 43700.

It is an arithmetic number, because the mean of its divisors is an integer number (1678644).

Almost surely, 240679430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40679430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53716608).

40679430 is an abundant number, since it is smaller than the sum of its proper divisors (66753786).

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

40679430 is a wasteful number, since it uses less digits than its factorization.

40679430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 40679430 is about 6378.0428032430. The cubic root of 40679430 is about 343.9206764550.

The spelling of 40679430 in words is "forty million, six hundred seventy-nine thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 262 330 393 655 786 941 1310 1441 1882 1965 2823 2882 3930 4323 4705 5646 7205 8646 9410 10351 14115 14410 20702 21615 28230 31053 43230 51755 62106 103510 123271 155265 246542 310530 369813 616355 739626 1232710 1355981 1849065 2711962 3698130 4067943 6779905 8135886 13559810 20339715 40679430