Search a number
-
+
40705119 = 3371316567
BaseRepresentation
bin1001101101000…
…1110001011111
32211121000221000
42123101301133
540410030434
64012241343
71002662550
oct233216137
984530830
1040705119
1120a823a4
1211770253
138582790
145598327
153890b99
hex26d1c5f

40705119 has 32 divisors (see below), whose sum is σ = 74224640. Its totient is φ = 21469536.

The previous prime is 40705111. The next prime is 40705127. The reversal of 40705119 is 91150704.

It is an interprime number because it is at equal distance from previous prime (40705111) and next prime (40705127).

It is not a de Polignac number, because 40705119 - 23 = 40705111 is a prime.

It is a super-3 number, since 3×407051193 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40705092 and 40705101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40705111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5827 + ... + 10740.

It is an arithmetic number, because the mean of its divisors is an integer number (2319520).

Almost surely, 240705119 is an apocalyptic number.

40705119 is a deficient number, since it is larger than the sum of its proper divisors (33519521).

40705119 is a wasteful number, since it uses less digits than its factorization.

40705119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16596 (or 16590 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 40705119 is about 6380.0563477136. The cubic root of 40705119 is about 343.9930563543.

The spelling of 40705119 in words is "forty million, seven hundred five thousand, one hundred nineteen".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 16567 49701 115969 149103 215371 347907 447309 646113 1043721 1507597 1938339 3131163 4522791 5815017 13568373 40705119