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40680045 = 3257219971
BaseRepresentation
bin1001101100101…
…1101001101101
32211112202112100
42123023221231
540403230140
64011525313
71002526500
oct233135155
984482470
1040680045
1120a6557a
1211759839
138574243
14558d137
153888530
hex26cba6d

40680045 has 72 divisors (see below), whose sum is σ = 86430240. Its totient is φ = 17599680.

The previous prime is 40680037. The next prime is 40680047. The reversal of 40680045 is 54008604.

It is not a de Polignac number, because 40680045 - 23 = 40680037 is a prime.

It is a super-2 number, since 2×406800452 = 3309732122404050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40680047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41410 + ... + 42380.

It is an arithmetic number, because the mean of its divisors is an integer number (1200420).

Almost surely, 240680045 is an apocalyptic number.

40680045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40680045 is an abundant number, since it is smaller than the sum of its proper divisors (45750195).

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

40680045 is a wasteful number, since it uses less digits than its factorization.

40680045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 40680045 is about 6378.0910153431. The cubic root of 40680045 is about 343.9224096008.

Adding to 40680045 its reverse (54008604), we get a palindrome (94688649).

The spelling of 40680045 in words is "forty million, six hundred eighty thousand, forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 399 441 665 735 855 931 971 1197 1995 2205 2793 2913 4655 4855 5985 6797 8379 8739 13965 14565 18449 20391 33985 41895 43695 47579 55347 61173 92245 101955 129143 142737 166041 237895 276735 305865 387429 428211 645715 713685 830205 904001 1162287 1937145 2141055 2712003 4520005 5811435 8136009 13560015 40680045