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12498640 = 2457112029
BaseRepresentation
bin101111101011…
…011011010000
3212111222220121
4233223123100
511144424030
61123520024
7211144120
oct57533320
925458817
1012498640
117067460
124229014
132787c5b
141934c80
15116d47a
hexbeb6d0

12498640 has 80 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 3893760.

The previous prime is 12498601. The next prime is 12498641. The reversal of 12498640 is 4689421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12498596 and 12498605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12498641) 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, 5146 + ... + 7174.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 212498640 is an apocalyptic number.

12498640 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 12498640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

12498640 is an abundant number, since it is smaller than the sum of its proper divisors (23749040).

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

12498640 is a wasteful number, since it uses less digits than its factorization.

12498640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 12498640 is about 3535.3415676565. The cubic root of 12498640 is about 232.0710246276.

It can be divided in two parts, 1249 and 8640, that added together give a palindrome (9889).

The spelling of 12498640 in words is "twelve million, four hundred ninety-eight thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2029 3080 4058 6160 8116 10145 14203 16232 20290 22319 28406 32464 40580 44638 56812 71015 81160 89276 111595 113624 142030 156233 162320 178552 223190 227248 284060 312466 357104 446380 568120 624932 781165 892760 1136240 1249864 1562330 1785520 2499728 3124660 6249320 12498640