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40765005 = 335714253
BaseRepresentation
bin1001101110000…
…0011001001101
32211201002002000
42123200121031
540413440010
64013422513
71003332261
oct233403115
984632060
1040765005
1121013396
121179aa39
1385a3b08
1455b20a1
1538a37c0
hex26e064d

40765005 has 32 divisors (see below), whose sum is σ = 73509120. Its totient is φ = 21430080.

The previous prime is 40764991. The next prime is 40765007. The reversal of 40765005 is 50056704.

40765005 = 1462 + 1472 + ... + 5002.

40765005 is a `hidden beast` number, since 4 + 0 + 7 + 650 + 0 + 5 = 666.

It is not a de Polignac number, because 40765005 - 216 = 40699469 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40765005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40765007) 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, 7459 + ... + 11711.

It is an arithmetic number, because the mean of its divisors is an integer number (2297160).

Almost surely, 240765005 is an apocalyptic number.

40765005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40765005 is a deficient number, since it is larger than the sum of its proper divisors (32744115).

40765005 is a wasteful number, since it uses less digits than its factorization.

40765005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 40765005 is about 6384.7478415361. The cubic root of 40765005 is about 344.1616696590.

The spelling of 40765005 in words is "forty million, seven hundred sixty-five thousand, five".

Divisors: 1 3 5 9 15 27 45 71 135 213 355 639 1065 1917 3195 4253 9585 12759 21265 38277 63795 114831 191385 301963 574155 905889 1509815 2717667 4529445 8153001 13588335 40765005