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13471040 = 265114389
BaseRepresentation
bin110011011000…
…110101000000
3221100101210102
4303120311000
511422033130
61200421532
7222334112
oct63306500
927311712
1013471040
117670aa0
1246178a8
132a3873b
141b093b2
1512b1645
hexcd8d40

13471040 has 112 divisors (see below), whose sum is σ = 36210240. Its totient is φ = 4730880.

The previous prime is 13471037. The next prime is 13471049. The reversal of 13471040 is 4017431.

It is a super-3 number, since 3×134710403 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13471049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151316 + ... + 151404.

Almost surely, 213471040 is an apocalyptic number.

13471040 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 13471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18105120).

13471040 is an abundant number, since it is smaller than the sum of its proper divisors (22739200).

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

13471040 is a wasteful number, since it uses less digits than its factorization.

13471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 13471040 is about 3670.2915415536. The cubic root of 13471040 is about 237.9397724401.

Adding to 13471040 its reverse (4017431), we get a palindrome (17488471).

The spelling of 13471040 in words is "thirteen million, four hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 89 110 160 172 176 178 215 220 320 344 352 356 430 440 445 473 688 704 712 860 880 890 946 979 1376 1424 1720 1760 1780 1892 1958 2365 2752 2848 3440 3520 3560 3784 3827 3916 4730 4895 5696 6880 7120 7568 7654 7832 9460 9790 13760 14240 15136 15308 15664 18920 19135 19580 28480 30272 30616 31328 37840 38270 39160 42097 61232 62656 75680 76540 78320 84194 122464 151360 153080 156640 168388 210485 244928 306160 313280 336776 420970 612320 673552 841940 1224640 1347104 1683880 2694208 3367760 6735520 13471040