Search a number
-
+
10706427000 = 2332531189603
BaseRepresentation
bin10011111100010011…
…10001110001111000
31000122011000211210100
421332021301301320
5133411321131000
64530215515400
7526213061613
oct117611616170
930564024710
1010706427000
1145a4554085
1220a9688b60
13101816a009
14737cd117a
15429deea00
hex27e271c78

10706427000 has 96 divisors (see below), whose sum is σ = 36187753680. Its totient is φ = 2855044800.

The previous prime is 10706426999. The next prime is 10706427007. The reversal of 10706427000 is 72460701.

10706427000 is a `hidden beast` number, since 10 + 7 + 0 + 642 + 7 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×107064270002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10706427007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585802 + ... + 603801.

Almost surely, 210706427000 is an apocalyptic number.

10706427000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10706427000 is an abundant number, since it is smaller than the sum of its proper divisors (25481326680).

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

10706427000 is a wasteful number, since it uses less digits than its factorization.

10706427000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189630 (or 1189613 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 10706427000 its reverse (72460701), we get a palindrome (10778887701).

The spelling of 10706427000 in words is "ten billion, seven hundred six million, four hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 1189603 2379206 3568809 4758412 5948015 7137618 9516824 10706427 11896030 14275236 17844045 21412854 23792060 28550472 29740075 35688090 42825708 47584120 53532135 59480150 71376180 85651416 89220225 107064270 118960300 142752360 148700375 178440450 214128540 237920600 267660675 297400750 356880900 428257080 446101125 535321350 594801500 713761800 892202250 1070642700 1189603000 1338303375 1784404500 2141285400 2676606750 3568809000 5353213500 10706427000