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13130856 = 2333313753
BaseRepresentation
bin110010000101…
…110001101000
3220201010011000
4302011301220
511330141411
61145235000
7216416244
oct62056150
926633130
1013130856
117459452
124492a60
13294994b
141a5b424
151245956
hexc85c68

13130856 has 128 divisors (see below), whose sum is σ = 39398400. Its totient is φ = 4043520.

The previous prime is 13130839. The next prime is 13130857. The reversal of 13130856 is 65803131.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13130857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247726 + ... + 247778.

It is an arithmetic number, because the mean of its divisors is an integer number (307800).

Almost surely, 213130856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19699200).

13130856 is an abundant number, since it is smaller than the sum of its proper divisors (26267544).

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

13130856 is a wasteful number, since it uses less digits than its factorization.

13130856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13130856 is about 3623.6523012011. The cubic root of 13130856 is about 235.9197754707.

Adding to 13130856 its reverse (65803131), we get a palindrome (78933987).

The spelling of 13130856 in words is "thirteen million, one hundred thirty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 37 53 54 62 72 74 93 106 108 111 124 148 159 186 212 216 222 248 279 296 318 333 372 424 444 477 558 636 666 744 837 888 954 999 1116 1147 1272 1332 1431 1643 1674 1908 1961 1998 2232 2294 2664 2862 3286 3348 3441 3816 3922 3996 4588 4929 5724 5883 6572 6696 6882 7844 7992 9176 9858 10323 11448 11766 13144 13764 14787 15688 17649 19716 20646 23532 27528 29574 30969 35298 39432 41292 44361 47064 52947 59148 60791 61938 70596 82584 88722 105894 118296 121582 123876 141192 177444 182373 211788 243164 247752 354888 364746 423576 486328 547119 729492 1094238 1458984 1641357 2188476 3282714 4376952 6565428 13130856