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12440920 = 2353179127
BaseRepresentation
bin101111011101…
…010101011000
3212102001201211
4233131111120
511141102140
61122352504
7210513622
oct57352530
925361654
1012440920
117028058
1241bb734
1327678bb
14191bc12
15115b2ea
hexbdd558

12440920 has 64 divisors (see below), whose sum is σ = 29491200. Its totient is φ = 4717440.

The previous prime is 12440899. The next prime is 12440921. The reversal of 12440920 is 2904421.

It is a junction number, because it is equal to n+sod(n) for n = 12440891 and 12440900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12440921) 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, 97897 + ... + 98023.

It is an arithmetic number, because the mean of its divisors is an integer number (460800).

Almost surely, 212440920 is an apocalyptic number.

12440920 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 12440920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14745600).

12440920 is an abundant number, since it is smaller than the sum of its proper divisors (17050280).

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

12440920 is a wasteful number, since it uses less digits than its factorization.

12440920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12440920 is about 3527.1688363332. The cubic root of 12440920 is about 231.7132306956.

The spelling of 12440920 in words is "twelve million, four hundred forty thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 79 124 127 155 158 248 254 310 316 395 508 620 632 635 790 1016 1240 1270 1580 2449 2540 3160 3937 4898 5080 7874 9796 10033 12245 15748 19592 19685 20066 24490 31496 39370 40132 48980 50165 78740 80264 97960 100330 157480 200660 311023 401320 622046 1244092 1555115 2488184 3110230 6220460 12440920