Search a number
-
+
10971636 = 22313531327
BaseRepresentation
bin101001110110…
…100111110100
3202122102020220
4221312213310
510302043021
61031054340
7162154164
oct51664764
922572226
1010971636
116214175
1238113b0
132371bc0
1416585a4
15e6acc6
hexa769f4

10971636 has 48 divisors (see below), whose sum is σ = 28111104. Its totient is φ = 3309696.

The previous prime is 10971629. The next prime is 10971637. The reversal of 10971636 is 63617901.

It is a junction number, because it is equal to n+sod(n) for n = 10971597 and 10971606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10971637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7605 + ... + 8931.

It is an arithmetic number, because the mean of its divisors is an integer number (585648).

Almost surely, 210971636 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 10971636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14055552).

10971636 is an abundant number, since it is smaller than the sum of its proper divisors (17139468).

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

10971636 is a wasteful number, since it uses less digits than its factorization.

10971636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 10971636 is about 3312.3459964201. The cubic root of 10971636 is about 222.2066900626.

The spelling of 10971636 in words is "ten million, nine hundred seventy-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1327 1378 2067 2654 2756 3981 4134 5308 7962 8268 15924 17251 34502 51753 69004 70331 103506 140662 207012 210993 281324 421986 843972 914303 1828606 2742909 3657212 5485818 10971636