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40698 = 23271719
BaseRepresentation
bin1001111011111010
32001211100
421323322
52300243
6512230
7226440
oct117372
961740
1040698
1128639
121b676
13156a8
1410b90
15c0d3
hex9efa

40698 has 48 divisors (see below), whose sum is σ = 112320. Its totient is φ = 10368.

The previous prime is 40697. The next prime is 40699. The reversal of 40698 is 89604.

It is an interprime number because it is at equal distance from previous prime (40697) and next prime (40699).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 40698.

It is not an unprimeable number, because it can be changed into a prime (40693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2133 + ... + 2151.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

240698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160).

40698 is an abundant number, since it is smaller than the sum of its proper divisors (71622).

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

40698 is a wasteful number, since it uses less digits than its factorization.

40698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40698 is about 201.7374531415. The cubic root of 40698 is about 34.3973001306.

The spelling of 40698 in words is "forty thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 34 38 42 51 57 63 102 114 119 126 133 153 171 238 266 306 323 342 357 399 646 714 798 969 1071 1197 1938 2142 2261 2394 2907 4522 5814 6783 13566 20349 40698