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12404640 = 253543601
BaseRepresentation
bin101111010100…
…011110100000
3212100012222010
4233110132200
511133422030
61121512520
7210303063
oct57243640
925305863
1012404640
117002876
1241a2740
132754231
14190c8da
1511506b0
hexbd47a0

12404640 has 96 divisors (see below), whose sum is σ = 40049856. Its totient is φ = 3225600.

The previous prime is 12404629. The next prime is 12404647. The reversal of 12404640 is 4640421.

12404640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (12404647) 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, 20340 + ... + 20940.

It is an arithmetic number, because the mean of its divisors is an integer number (417186).

Almost surely, 212404640 is an apocalyptic number.

12404640 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 12404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20024928).

12404640 is an abundant number, since it is smaller than the sum of its proper divisors (27645216).

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

12404640 is a wasteful number, since it uses less digits than its factorization.

12404640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 12404640 is about 3522.0221464380. The cubic root of 12404640 is about 231.4877719954.

The spelling of 12404640 in words is "twelve million, four hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 601 645 688 860 1032 1202 1290 1376 1720 1803 2064 2404 2580 3005 3440 3606 4128 4808 5160 6010 6880 7212 9015 9616 10320 12020 14424 18030 19232 20640 24040 25843 28848 36060 48080 51686 57696 72120 77529 96160 103372 129215 144240 155058 206744 258430 288480 310116 387645 413488 516860 620232 775290 826976 1033720 1240464 1550580 2067440 2480928 3101160 4134880 6202320 12404640