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12430040 = 2357103431
BaseRepresentation
bin101111011010…
…101011011000
3212101111210212
4233122223120
511140230130
61122230252
7210440120
oct57325330
925344725
1012430040
11701a967
1241b5388
13276296c
141917c80
151157e95
hexbdaad8

12430040 has 64 divisors (see below), whose sum is σ = 32348160. Its totient is φ = 4210560.

The previous prime is 12430021. The next prime is 12430049. The reversal of 12430040 is 4003421.

12430040 = 3542 + 3552 + ... + 4332.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 12429997 and 12430024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12430049) 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, 28625 + ... + 29055.

It is an arithmetic number, because the mean of its divisors is an integer number (505440).

Almost surely, 212430040 is an apocalyptic number.

12430040 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 12430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16174080).

12430040 is an abundant number, since it is smaller than the sum of its proper divisors (19918120).

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

12430040 is a wasteful number, since it uses less digits than its factorization.

12430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 12430040 is about 3525.6261855166. The cubic root of 12430040 is about 231.6456640093.

Adding to 12430040 its reverse (4003421), we get a palindrome (16433461).

The spelling of 12430040 in words is "twelve million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 103 140 206 280 412 431 515 721 824 862 1030 1442 1724 2060 2155 2884 3017 3448 3605 4120 4310 5768 6034 7210 8620 12068 14420 15085 17240 24136 28840 30170 44393 60340 88786 120680 177572 221965 310751 355144 443930 621502 887860 1243004 1553755 1775720 2486008 3107510 6215020 12430040