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40701 = 313567
BaseRepresentation
bin1001111011111101
32001211110
421323331
52300301
6512233
7226443
oct117375
961743
1040701
1128641
121b679
13156ab
1410b93
15c0d6
hex9efd

40701 has 4 divisors (see below), whose sum is σ = 54272. Its totient is φ = 27132.

The previous prime is 40699. The next prime is 40709. The reversal of 40701 is 10704.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 40701 - 21 = 40699 is a prime.

It is a super-4 number, since 4×407014 = 10976915226444411204, which contains 4444 as substring.

It is a D-number.

It is a Duffinian number.

40701 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40701.

It is not an unprimeable number, because it can be changed into a prime (40709) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6781 + ... + 6786.

It is an arithmetic number, because the mean of its divisors is an integer number (13568).

240701 is an apocalyptic number.

It is an amenable number.

40701 is a deficient number, since it is larger than the sum of its proper divisors (13571).

40701 is a wasteful number, since it uses less digits than its factorization.

40701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13570.

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 40701 is about 201.7448884111. The cubic root of 40701 is about 34.3981452939.

It can be divided in two parts, 40 and 701, that added together give a triangular number (741 = T38).

The spelling of 40701 in words is "forty thousand, seven hundred one", and thus it is an iban number.

Divisors: 1 3 13567 40701