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11427000 = 2335313293
BaseRepresentation
bin101011100101…
…110010111000
3210111112220020
4223211302320
510411131000
61044530440
7166061604
oct53456270
923445806
1011427000
1164a5302
1239b0a20
1324a1250
141736504
15100aba0
hexae5cb8

11427000 has 128 divisors (see below), whose sum is σ = 38525760. Its totient is φ = 2803200.

The previous prime is 11426993. The next prime is 11427011. The reversal of 11427000 is 72411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38854 + ... + 39146.

Almost surely, 211427000 is an apocalyptic number.

11427000 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 11427000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19262880).

11427000 is an abundant number, since it is smaller than the sum of its proper divisors (27098760).

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

11427000 is a wasteful number, since it uses less digits than its factorization.

11427000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 11427000 is about 3380.3845935041. The cubic root of 11427000 is about 225.2392516766.

Adding to 11427000 its reverse (72411), we get a palindrome (11499411).

The spelling of 11427000 in words is "eleven million, four hundred twenty-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 293 300 312 325 375 390 500 520 586 600 650 750 780 879 975 1000 1172 1300 1465 1500 1560 1625 1758 1950 2344 2600 2930 3000 3250 3516 3809 3900 4395 4875 5860 6500 7032 7325 7618 7800 8790 9750 11427 11720 13000 14650 15236 17580 19045 19500 21975 22854 29300 30472 35160 36625 38090 39000 43950 45708 57135 58600 73250 76180 87900 91416 95225 109875 114270 146500 152360 175800 190450 219750 228540 285675 293000 380900 439500 457080 476125 571350 761800 879000 952250 1142700 1428375 1904500 2285400 2856750 3809000 5713500 11427000