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13594968 = 23321729383
BaseRepresentation
bin110011110111…
…000101011000
3221120200210100
4303313011120
511440014333
61203215400
7223361322
oct63670530
927520710
1013594968
117746112
124677560
132a7cc7a
141b3c612
1512d8213
hexcf7158

13594968 has 96 divisors (see below), whose sum is σ = 40435200. Its totient is φ = 4107264.

The previous prime is 13594967. The next prime is 13594981. The reversal of 13594968 is 86949531.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13594967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35305 + ... + 35687.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 213594968 is an apocalyptic number.

13594968 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 13594968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

13594968 is an abundant number, since it is smaller than the sum of its proper divisors (26840232).

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

13594968 is a wasteful number, since it uses less digits than its factorization.

13594968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 13594968 is about 3687.1354735079. The cubic root of 13594968 is about 238.6671955018.

The spelling of 13594968 in words is "thirteen million, five hundred ninety-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 29 34 36 51 58 68 72 87 102 116 136 153 174 204 232 261 306 348 383 408 493 522 612 696 766 986 1044 1149 1224 1479 1532 1972 2088 2298 2958 3064 3447 3944 4437 4596 5916 6511 6894 8874 9192 11107 11832 13022 13788 17748 19533 22214 26044 27576 33321 35496 39066 44428 52088 58599 66642 78132 88856 99963 117198 133284 156264 188819 199926 234396 266568 377638 399852 468792 566457 755276 799704 1132914 1510552 1699371 2265828 3398742 4531656 6797484 13594968