Search a number
-
+
10963164 = 2231761881
BaseRepresentation
bin101001110100…
…100011011100
3202121222122010
4221310203130
510301310124
61030551220
7162120402
oct51644334
922558563
1010963164
116208873
123808510
13236b0a4
141655472
15e68529
hexa748dc

10963164 has 48 divisors (see below), whose sum is σ = 27560736. Its totient is φ = 3379200.

The previous prime is 10963163. The next prime is 10963177. The reversal of 10963164 is 46136901.

10963164 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10963163) 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, 12004 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (574182).

Almost surely, 210963164 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 10963164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780368).

10963164 is an abundant number, since it is smaller than the sum of its proper divisors (16597572).

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

10963164 is a wasteful number, since it uses less digits than its factorization.

10963164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 10963164 is about 3311.0668975422. The cubic root of 10963164 is about 222.1494813402.

The spelling of 10963164 in words is "ten million, nine hundred sixty-three thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 61 68 102 122 183 204 244 366 732 881 1037 1762 2074 2643 3111 3524 4148 5286 6222 10572 12444 14977 29954 44931 53741 59908 89862 107482 161223 179724 214964 322446 644892 913597 1827194 2740791 3654388 5481582 10963164