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13012440 = 2335722213
BaseRepresentation
bin110001101000…
…110111011000
3220111002201020
4301220313120
511312344230
61142522440
7215414100
oct61506730
926432636
1013012440
117388491
124436420
132907a8c
141a2a200
151220810
hexc68dd8

13012440 has 96 divisors (see below), whose sum is σ = 45431280. Its totient is φ = 2972928.

The previous prime is 13012427. The next prime is 13012471. The reversal of 13012440 is 4421031.

13012440 is digitally balanced in base 2 and base 4, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4774 + ... + 6986.

Almost surely, 213012440 is an apocalyptic number.

13012440 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 13012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22715640).

13012440 is an abundant number, since it is smaller than the sum of its proper divisors (32418840).

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

13012440 is a wasteful number, since it uses less digits than its factorization.

13012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2241 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13012440 is about 3607.2759805704. The cubic root of 13012440 is about 235.2084464087.

Adding to 13012440 its reverse (4421031), we get a palindrome (17433471).

It can be divided in two parts, 1301 and 2440, that added together give a triangular number (3741 = T86).

The spelling of 13012440 in words is "thirteen million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2213 2940 4426 5880 6639 8852 11065 13278 15491 17704 22130 26556 30982 33195 44260 46473 53112 61964 66390 77455 88520 92946 108437 123928 132780 154910 185892 216874 232365 265560 309820 325311 371784 433748 464730 542185 619640 650622 867496 929460 1084370 1301244 1626555 1858920 2168740 2602488 3253110 4337480 6506220 13012440