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13046220 = 22325112599
BaseRepresentation
bin110001110001…
…000111001100
3220112211001100
4301301013030
511314434340
61143343100
7215614425
oct61610714
926484040
1013046220
117400900
124451a90
13291a275
141a3864c
15122a830
hexc711cc

13046220 has 108 divisors (see below), whose sum is σ = 43570800. Its totient is φ = 3157440.

The previous prime is 13046219. The next prime is 13046233. The reversal of 13046220 is 2264031.

13046220 = T431 + T432 + ... + T540.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13046193 and 13046202.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 21481 + ... + 22079.

Almost surely, 213046220 is an apocalyptic number.

13046220 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 13046220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

13046220 is an abundant number, since it is smaller than the sum of its proper divisors (30524580).

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

13046220 is a wasteful number, since it uses less digits than its factorization.

13046220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13046220 is about 3611.9551492232. The cubic root of 13046220 is about 235.4118024769.

The spelling of 13046220 in words is "thirteen million, forty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 599 605 660 726 990 1089 1198 1210 1452 1797 1815 1980 2178 2396 2420 2995 3594 3630 4356 5391 5445 5990 6589 7188 7260 8985 10782 10890 11980 13178 17970 19767 21564 21780 26356 26955 32945 35940 39534 53910 59301 65890 72479 79068 98835 107820 118602 131780 144958 197670 217437 237204 289916 296505 362395 395340 434874 593010 652311 724790 869748 1087185 1186020 1304622 1449580 2174370 2609244 3261555 4348740 6523110 13046220