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12490320 = 243571733
BaseRepresentation
bin101111101001…
…011001010000
3212111120111110
4233221121100
511144142240
61123413320
7211110633
oct57513120
925446443
1012490320
117061187
124224240
13278422b
141931c1a
15116ac80
hexbe9650

12490320 has 80 divisors (see below), whose sum is σ = 39318912. Its totient is φ = 3279360.

The previous prime is 12490301. The next prime is 12490333. The reversal of 12490320 is 2309421.

12490320 is digitally balanced in base 2, because in such base 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 (80).

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, 16674 + ... + 17406.

Almost surely, 212490320 is an apocalyptic number.

12490320 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 12490320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19659456).

12490320 is an abundant number, since it is smaller than the sum of its proper divisors (26828592).

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

12490320 is a wasteful number, since it uses less digits than its factorization.

12490320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 12490320 is about 3534.1646820713. The cubic root of 12490320 is about 232.0195187700.

Adding to 12490320 its reverse (2309421), we get a palindrome (14799741).

The spelling of 12490320 in words is "twelve million, four hundred ninety thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 733 852 1065 1136 1420 1466 1704 2130 2199 2840 2932 3408 3665 4260 4398 5680 5864 7330 8520 8796 10995 11728 14660 17040 17592 21990 29320 35184 43980 52043 58640 87960 104086 156129 175920 208172 260215 312258 416344 520430 624516 780645 832688 1040860 1249032 1561290 2081720 2498064 3122580 4163440 6245160 12490320