Search a number
-
+
10994000 = 245323239
BaseRepresentation
bin101001111100…
…000101010000
3202200112221012
4221330011100
510303302000
61031350052
7162306323
oct51740520
922615835
1010994000
116229a56
123822328
13237c134
1416627ba
15e72735
hexa7c150

10994000 has 80 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 4188800.

The previous prime is 10993993. The next prime is 10994003. The reversal of 10994000 is 49901.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10994003) 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, 45881 + ... + 46119.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

Almost surely, 210994000 is an apocalyptic number.

10994000 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 10994000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

10994000 is an abundant number, since it is smaller than the sum of its proper divisors (16861360).

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

10994000 is a wasteful number, since it uses less digits than its factorization.

10994000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 10994000 is about 3315.7201329425. The cubic root of 10994000 is about 222.3575657011.

The spelling of 10994000 in words is "ten million, nine hundred ninety-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 239 250 368 400 460 478 500 575 920 956 1000 1150 1195 1840 1912 2000 2300 2390 2875 3824 4600 4780 5497 5750 5975 9200 9560 10994 11500 11950 19120 21988 23000 23900 27485 29875 43976 46000 47800 54970 59750 87952 95600 109940 119500 137425 219880 239000 274850 439760 478000 549700 687125 1099400 1374250 2198800 2748500 5497000 10994000