Search a number
-
+
10834960 = 245167811
BaseRepresentation
bin101001010101…
…010000010000
3202101110202211
4221111100100
510233204320
61024121504
7161044543
oct51252020
922343684
1010834960
116130514
123766294
132324926
14162085a
15e4055a
hexa55410

10834960 has 40 divisors (see below), whose sum is σ = 25373376. Its totient is φ = 4302720.

The previous prime is 10834939. The next prime is 10834963. The reversal of 10834960 is 6943801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (10834963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12955 + ... + 13765.

Almost surely, 210834960 is an apocalyptic number.

10834960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10834960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12686688).

10834960 is an abundant number, since it is smaller than the sum of its proper divisors (14538416).

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

10834960 is a wasteful number, since it uses less digits than its factorization.

10834960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 10834960 is about 3291.6500421521. The cubic root of 10834960 is about 221.2801399565.

The spelling of 10834960 in words is "ten million, eight hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 811 835 1336 1622 1670 2672 3244 3340 4055 6488 6680 8110 12976 13360 16220 32440 64880 135437 270874 541748 677185 1083496 1354370 2166992 2708740 5417480 10834960