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13244688 = 2433233143
BaseRepresentation
bin110010100001…
…100100010000
3220220220022000
4302201210100
511342312223
61151514000
7220402152
oct62414420
926826260
1013244688
117526a26
124528900
1329896c2
141a8aad2
151269543
hexca1910

13244688 has 160 divisors (see below), whose sum is σ = 41902080. Its totient is φ = 3991680.

The previous prime is 13244687. The next prime is 13244773. The reversal of 13244688 is 88644231.

13244688 is a `hidden beast` number, since 132 + 446 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13244687) 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, 307995 + ... + 308037.

It is an arithmetic number, because the mean of its divisors is an integer number (261888).

Almost surely, 213244688 is an apocalyptic number.

13244688 is a gapful number since it is divisible by the number (18) 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 13244688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20951040).

13244688 is an abundant number, since it is smaller than the sum of its proper divisors (28657392).

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

13244688 is a wasteful number, since it uses less digits than its factorization.

13244688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 102 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 13244688 is about 3639.3252121788. The cubic root of 13244688 is about 236.5995480723.

The spelling of 13244688 in words is "thirteen million, two hundred forty-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 31 36 43 46 48 54 62 69 72 86 92 93 108 124 129 138 144 172 184 186 207 216 248 258 276 279 344 368 372 387 414 432 496 516 552 558 621 688 713 744 774 828 837 989 1032 1104 1116 1161 1242 1333 1426 1488 1548 1656 1674 1978 2064 2139 2232 2322 2484 2666 2852 2967 3096 3312 3348 3956 3999 4278 4464 4644 4968 5332 5704 5934 6192 6417 6696 7912 7998 8556 8901 9288 9936 10664 11408 11868 11997 12834 13392 15824 15996 17112 17802 18576 19251 21328 23736 23994 25668 26703 30659 31992 34224 35604 35991 38502 47472 47988 51336 53406 61318 63984 71208 71982 77004 91977 95976 102672 106812 122636 142416 143964 154008 183954 191952 213624 245272 275931 287928 308016 367908 427248 490544 551862 575856 735816 827793 1103724 1471632 1655586 2207448 3311172 4414896 6622344 13244688