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12431000 = 235331401
BaseRepresentation
bin101111011010…
…111010011000
3212101120010102
4233122322120
511140243000
61122234532
7210442661
oct57327230
925346112
1012431000
11702065a
1241b5a48
13276322a
141918368
1511583d5
hexbdae98

12431000 has 64 divisors (see below), whose sum is σ = 30101760. Its totient is φ = 4800000.

The previous prime is 12430963. The next prime is 12431033. The reversal of 12431000 is 13421.

12431000 = T880 + T881 + ... + T910.

It is a happy number.

It is a super-2 number, since 2×124310002 = 309059522000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30800 + ... + 31200.

It is an arithmetic number, because the mean of its divisors is an integer number (470340).

Almost surely, 212431000 is an apocalyptic number.

12431000 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 12431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15050880).

12431000 is an abundant number, since it is smaller than the sum of its proper divisors (17670760).

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

12431000 is a wasteful number, since it uses less digits than its factorization.

12431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 12431000 is about 3525.7623289155. The cubic root of 12431000 is about 231.6516273613.

Adding to 12431000 its reverse (13421), we get a palindrome (12444421).

The spelling of 12431000 in words is "twelve million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 401 500 620 775 802 1000 1240 1550 1604 2005 3100 3208 3875 4010 6200 7750 8020 10025 12431 15500 16040 20050 24862 31000 40100 49724 50125 62155 80200 99448 100250 124310 200500 248620 310775 401000 497240 621550 1243100 1553875 2486200 3107750 6215500 12431000