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12690040 = 23511151191
BaseRepresentation
bin110000011010…
…001001111000
3212212201110111
4300122021320
511222040130
61131554104
7212602126
oct60321170
925781414
1012690040
117188240
1242bb934
1328240cc
141984916
1511aa02a
hexc1a278

12690040 has 64 divisors (see below), whose sum is σ = 31518720. Its totient is φ = 4560000.

The previous prime is 12690037. The next prime is 12690049. The reversal of 12690040 is 4009621.

It is a super-2 number, since 2×126900402 = 322074230403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12689993 and 12690020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12690049) 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, 66345 + ... + 66535.

It is an arithmetic number, because the mean of its divisors is an integer number (492480).

Almost surely, 212690040 is an apocalyptic number.

12690040 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 12690040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15759360).

12690040 is an abundant number, since it is smaller than the sum of its proper divisors (18828680).

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

12690040 is a wasteful number, since it uses less digits than its factorization.

12690040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 12690040 is about 3562.3082404531. The cubic root of 12690040 is about 233.2496479943.

Adding to 12690040 its reverse (4009621), we get a palindrome (16699661).

The spelling of 12690040 in words is "twelve million, six hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 191 220 302 382 440 604 755 764 955 1208 1510 1528 1661 1910 2101 3020 3322 3820 4202 6040 6644 7640 8305 8404 10505 13288 16610 16808 21010 28841 33220 42020 57682 66440 84040 115364 144205 230728 288410 317251 576820 634502 1153640 1269004 1586255 2538008 3172510 6345020 12690040