Search a number
-
+
12747000 = 233537607
BaseRepresentation
bin110000101000…
…000011111000
3212222121121010
4300220003320
511230401000
61133113520
7213230160
oct60500370
925877533
1012747000
117217012
1243288a0
132844006
14199b5a0
1511bbd50
hexc280f8

12747000 has 128 divisors (see below), whose sum is σ = 45527040. Its totient is φ = 2908800.

The previous prime is 12746999. The next prime is 12747001. The reversal of 12747000 is 74721.

It is an interprime number because it is at equal distance from previous prime (12746999) and next prime (12747001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12747001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20697 + ... + 21303.

It is an arithmetic number, because the mean of its divisors is an integer number (355680).

Almost surely, 212747000 is an apocalyptic number.

12747000 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 12747000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22763520).

12747000 is an abundant number, since it is smaller than the sum of its proper divisors (32780040).

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

12747000 is a wasteful number, since it uses less digits than its factorization.

12747000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 12747000 is about 3570.2941055325. The cubic root of 12747000 is about 233.5981121227.

The spelling of 12747000 in words is "twelve million, seven hundred forty-seven thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 607 700 750 840 875 1000 1050 1214 1400 1500 1750 1821 2100 2428 2625 3000 3035 3500 3642 4200 4249 4856 5250 6070 7000 7284 8498 9105 10500 12140 12747 14568 15175 16996 18210 21000 21245 24280 25494 30350 33992 36420 42490 45525 50988 60700 63735 72840 75875 84980 91050 101976 106225 121400 127470 151750 169960 182100 212450 227625 254940 303500 318675 364200 424900 455250 509880 531125 607000 637350 849800 910500 1062250 1274700 1593375 1821000 2124500 2549400 3186750 4249000 6373500 12747000