Search a number
-
+
10017036 = 2232674153
BaseRepresentation
bin100110001101…
…100100001100
3200211220210100
4212031210030
510031021121
6554411100
7151100121
oct46154414
920756710
1010017036
115721a47
123430a90
1320c9553
14148a748
15d2d026
hex98d90c

10017036 has 36 divisors (see below), whose sum is σ = 25704952. Its totient is φ = 3288384.

The previous prime is 10017023. The next prime is 10017037. The reversal of 10017036 is 63071001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (10017037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336 + ... + 4488.

Almost surely, 210017036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10017036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852476).

10017036 is an abundant number, since it is smaller than the sum of its proper divisors (15687916).

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

10017036 is a wasteful number, since it uses less digits than its factorization.

10017036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4230 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10017036 is about 3164.9701420393. The cubic root of 10017036 is about 215.5657427589.

Adding to 10017036 its reverse (63071001), we get a palindrome (73088037).

The spelling of 10017036 in words is "ten million, seventeen thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4153 8306 12459 16612 24918 37377 49836 74754 149508 278251 556502 834753 1113004 1669506 2504259 3339012 5008518 10017036