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13210092 = 22327193189
BaseRepresentation
bin110010011001…
…000111101100
3220212010211200
4302121013230
511340210332
61151045500
7220166250
oct62310754
926763750
1013210092
117502a35
124510890
132976a2c
141a7c260
15125e17c
hexc991ec

13210092 has 144 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 3421440.

The previous prime is 13210081. The next prime is 13210097. The reversal of 13210092 is 29001231.

It is a happy number.

13210092 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

13210092 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148384 + ... + 148472.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 213210092 is an apocalyptic number.

13210092 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 13210092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

13210092 is an abundant number, since it is smaller than the sum of its proper divisors (28722708).

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

13210092 is a wasteful number, since it uses less digits than its factorization.

13210092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 13210092 is about 3634.5690253454. The cubic root of 13210092 is about 236.3933638959.

The spelling of 13210092 in words is "thirteen million, two hundred ten thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 31 36 38 42 57 62 63 76 84 89 93 114 124 126 133 171 178 186 217 228 252 266 267 279 342 356 372 399 434 532 534 558 589 623 651 684 798 801 868 1068 1116 1178 1197 1246 1302 1596 1602 1691 1767 1869 1953 2356 2394 2492 2604 2759 3204 3382 3534 3738 3906 4123 4788 5073 5301 5518 5607 6764 7068 7476 7812 8246 8277 10146 10602 11036 11214 11837 12369 15219 16492 16554 19313 20292 21204 22428 23674 24738 24831 30438 33108 35511 37107 38626 47348 49476 49662 52421 57939 60876 71022 74214 77252 99324 104842 106533 115878 142044 148428 157263 173817 209684 213066 231756 314526 347634 366947 426132 471789 629052 695268 733894 943578 1100841 1467788 1887156 2201682 3302523 4403364 6605046 13210092