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13023780 = 22357112819
BaseRepresentation
bin110001101011…
…101000100100
3220111200021020
4301223220210
511313230110
61143051140
7215462130
oct61535044
926450236
1013023780
117395a60
124440ab0
13290cca3
141a303c0
151223d70
hexc6ba24

13023780 has 96 divisors (see below), whose sum is σ = 45480960. Its totient is φ = 2705280.

The previous prime is 13023763. The next prime is 13023781. The reversal of 13023780 is 8732031.

It is a self number, because there is not a number n which added to its sum of digits gives 13023780.

It is not an unprimeable number, because it can be changed into a prime (13023781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3211 + ... + 6029.

It is an arithmetic number, because the mean of its divisors is an integer number (473760).

Almost surely, 213023780 is an apocalyptic number.

13023780 is a gapful number since it is divisible by the number (10) 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 13023780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22740480).

13023780 is an abundant number, since it is smaller than the sum of its proper divisors (32457180).

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

13023780 is a wasteful number, since it uses less digits than its factorization.

13023780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 13023780 is about 3608.8474614480. The cubic root of 13023780 is about 235.2767525665.

The spelling of 13023780 in words is "thirteen million, twenty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 2819 4620 5638 8457 11276 14095 16914 19733 28190 31009 33828 39466 42285 56380 59199 62018 78932 84570 93027 98665 118398 124036 155045 169140 186054 197330 217063 236796 295995 310090 372108 394660 434126 465135 591990 620180 651189 868252 930270 1085315 1183980 1302378 1860540 2170630 2604756 3255945 4341260 6511890 13023780