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13003740 = 2234523349
BaseRepresentation
bin110001100110…
…101111011100
3220110122210000
4301212233130
511312104430
61142414300
7215346531
oct61465734
926418700
1013003740
1173819a2
124431390
132903b29
141a26d88
15121ce60
hexc66bdc

13003740 has 120 divisors (see below), whose sum is σ = 42688800. Its totient is φ = 3307392.

The previous prime is 13003703. The next prime is 13003741. The reversal of 13003740 is 4730031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003741) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37086 + ... + 37434.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 213003740 is an apocalyptic number.

13003740 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 13003740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21344400).

13003740 is an abundant number, since it is smaller than the sum of its proper divisors (29685060).

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

13003740 is a wasteful number, since it uses less digits than its factorization.

13003740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13003740 is about 3606.0698828503. The cubic root of 13003740 is about 235.1560153068.

Adding to 13003740 its reverse (4730031), we get a palindrome (17733771).

The spelling of 13003740 in words is "thirteen million, three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 270 276 324 345 349 405 414 460 540 621 690 698 810 828 1035 1047 1242 1380 1396 1620 1745 1863 2070 2094 2484 3105 3141 3490 3726 4140 4188 5235 6210 6282 6980 7452 8027 9315 9423 10470 12420 12564 15705 16054 18630 18846 20940 24081 28269 31410 32108 37260 37692 40135 47115 48162 56538 62820 72243 80270 94230 96324 113076 120405 141345 144486 160540 188460 216729 240810 282690 288972 361215 433458 481620 565380 650187 722430 866916 1083645 1300374 1444860 2167290 2600748 3250935 4334580 6501870 13003740