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13321692 = 22332331173
BaseRepresentation
bin110010110100…
…010111011100
3221001210221000
4302310113130
511402243232
61153310300
7221142516
oct62642734
927053830
1013321692
11757986a
124565390
1329b5777
141aaabb6
15128227c
hexcb45dc

13321692 has 96 divisors (see below), whose sum is σ = 37416960. Its totient is φ = 4086720.

The previous prime is 13321667. The next prime is 13321699. The reversal of 13321692 is 29612331.

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

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 (13321699) 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 31 ways as a sum of consecutive naturals, for example, 76918 + ... + 77090.

It is an arithmetic number, because the mean of its divisors is an integer number (389760).

Almost surely, 213321692 is an apocalyptic number.

13321692 is a gapful number since it is divisible by the number (12) 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 13321692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18708480).

13321692 is an abundant number, since it is smaller than the sum of its proper divisors (24095268).

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

13321692 is a wasteful number, since it uses less digits than its factorization.

13321692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 13321692 is about 3649.8893133902. The cubic root of 13321692 is about 237.0571885706.

The spelling of 13321692 in words is "thirteen million, three hundred twenty-one thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 173 186 207 276 279 346 372 414 519 558 621 692 713 828 837 1038 1116 1242 1426 1557 1674 2076 2139 2484 2852 3114 3348 3979 4278 4671 5363 6228 6417 7958 8556 9342 10726 11937 12834 15916 16089 18684 19251 21452 23874 25668 32178 35811 38502 47748 48267 64356 71622 77004 96534 107433 123349 143244 144801 193068 214866 246698 289602 370047 429732 493396 579204 740094 1110141 1480188 2220282 3330423 4440564 6660846 13321692