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73814 = 21317167
BaseRepresentation
bin10010000001010110
310202020212
4102001112
54330224
61325422
7425126
oct220126
9122225
1073814
1150504
1236872
13277a0
141cc86
1516d0e
hex12056

73814 has 16 divisors (see below), whose sum is σ = 127008. Its totient is φ = 31872.

The previous prime is 73783. The next prime is 73819. The reversal of 73814 is 41837.

73814 = T100 + T101 + ... + T112.

It is a happy number.

It is a Curzon number.

It is a plaindrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 73814.

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 73814.

It is not an unprimeable number, because it can be changed into a prime (73819) by changing a digit.

73814 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359 + ... + 525.

It is an arithmetic number, because the mean of its divisors is an integer number (7938).

273814 is an apocalyptic number.

73814 is a deficient number, since it is larger than the sum of its proper divisors (53194).

73814 is a wasteful number, since it uses less digits than its factorization.

73814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199.

The product of its digits is 672, while the sum is 23.

The square root of 73814 is about 271.6873202783. The cubic root of 73814 is about 41.9481597743.

Adding to 73814 its sum of digits (23), we get a palindrome (73837).

The spelling of 73814 in words is "seventy-three thousand, eight hundred fourteen".

Divisors: 1 2 13 17 26 34 167 221 334 442 2171 2839 4342 5678 36907 73814