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12463040 = 265172979
BaseRepresentation
bin101111100010…
…101111000000
3212110012002002
4233202233000
511142304130
61123043132
7210635252
oct57425700
925405062
1012463040
117042737
1242104a8
1327749a5
141925cd2
151162b45
hexbe2bc0

12463040 has 112 divisors (see below), whose sum is σ = 32918400. Its totient is φ = 4472832.

The previous prime is 12463013. The next prime is 12463051. The reversal of 12463040 is 4036421.

It is a happy number.

12463040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 157721 + ... + 157799.

Almost surely, 212463040 is an apocalyptic number.

12463040 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 12463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16459200).

12463040 is an abundant number, since it is smaller than the sum of its proper divisors (20455360).

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

12463040 is a wasteful number, since it uses less digits than its factorization.

12463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 12463040 is about 3530.3031031343. The cubic root of 12463040 is about 231.8504783682.

Adding to 12463040 its reverse (4036421), we get a palindrome (16499461).

The spelling of 12463040 in words is "twelve million, four hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 40 58 64 68 79 80 85 116 136 145 158 160 170 232 272 290 316 320 340 395 464 493 544 580 632 680 790 928 986 1088 1160 1264 1343 1360 1580 1856 1972 2291 2320 2465 2528 2686 2720 3160 3944 4582 4640 4930 5056 5372 5440 6320 6715 7888 9164 9280 9860 10744 11455 12640 13430 15776 18328 19720 21488 22910 25280 26860 31552 36656 38947 39440 42976 45820 53720 73312 77894 78880 85952 91640 107440 146624 155788 157760 183280 194735 214880 311576 366560 389470 429760 623152 733120 778940 1246304 1557880 2492608 3115760 6231520 12463040