Search a number
-
+
952014 = 237191193
BaseRepresentation
bin11101000011011001110
31210100220210
43220123032
5220431024
632223250
711043360
oct3503316
91710823
10952014
115a0298
1239ab26
1327442b
141aad30
1513c129
hexe86ce

952014 has 32 divisors (see below), whose sum is σ = 2292480. Its totient is φ = 257472.

The previous prime is 952009. The next prime is 952037. The reversal of 952014 is 410259.

It is a super-3 number, since 3×9520143 = 2588518419983336232, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

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 952014.

It is an unprimeable number.

952014 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 202 + ... + 1394.

It is an arithmetic number, because the mean of its divisors is an integer number (71640).

2952014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 952014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146240).

952014 is an abundant number, since it is smaller than the sum of its proper divisors (1340466).

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

952014 is a wasteful number, since it uses less digits than its factorization.

952014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 952014 is about 975.7120476862. The cubic root of 952014 is about 98.3741769108.

The spelling of 952014 in words is "nine hundred fifty-two thousand, fourteen".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 1193 2386 3579 7158 8351 16702 22667 25053 45334 50106 68001 136002 158669 317338 476007 952014