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40680744 = 23313235669
BaseRepresentation
bin1001101100101…
…1110100101000
32211112210111020
42123023310220
540403240434
64011532440
71002531516
oct233136450
984483436
1040680744
1120a66055
121175a120
138574660
14558d4b6
153888849
hex26cbd28

40680744 has 64 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 11970816.

The previous prime is 40680737. The next prime is 40680749. The reversal of 40680744 is 44708604.

40680744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40680749) 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 15 ways as a sum of consecutive naturals, for example, 4342 + ... + 10010.

It is an arithmetic number, because the mean of its divisors is an integer number (1786050).

Almost surely, 240680744 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 40680744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57153600).

40680744 is an abundant number, since it is smaller than the sum of its proper divisors (73626456).

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

40680744 is a wasteful number, since it uses less digits than its factorization.

40680744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5714 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 40680744 is about 6378.1458120680. The cubic root of 40680744 is about 343.9243794477.

The spelling of 40680744 in words is "forty million, six hundred eighty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1794 2392 3588 5669 7176 11338 17007 22676 34014 45352 68028 73697 130387 136056 147394 221091 260774 294788 391161 442182 521548 589576 782322 884364 1043096 1564644 1695031 1768728 3129288 3390062 5085093 6780124 10170186 13560248 20340372 40680744