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13400478 = 236713101
BaseRepresentation
bin110011000111…
…100110011110
3221012211000000
4303013212132
511412303403
61155115130
7221621310
oct63074636
927184000
1013400478
117622a83
1245a2aa6
132a125a0
141acb7b0
15129a7a3
hexcc799e

13400478 has 112 divisors (see below), whose sum is σ = 37459296. Its totient is φ = 3499200.

The previous prime is 13400459. The next prime is 13400479. The reversal of 13400478 is 87400431.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400479) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 132628 + ... + 132728.

It is an arithmetic number, because the mean of its divisors is an integer number (334458).

Almost surely, 213400478 is an apocalyptic number.

13400478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13400478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729648).

13400478 is an abundant number, since it is smaller than the sum of its proper divisors (24058818).

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

13400478 is a wasteful number, since it uses less digits than its factorization.

13400478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13400478 is about 3660.6663327870. Note that the first 3 decimals coincide. The cubic root of 13400478 is about 237.5235980246.

The spelling of 13400478 in words is "thirteen million, four hundred thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 101 117 126 162 182 189 202 234 243 273 303 351 378 486 546 567 606 702 707 729 819 909 1053 1134 1313 1414 1458 1638 1701 1818 2106 2121 2457 2626 2727 3159 3402 3939 4242 4914 5103 5454 6318 6363 7371 7878 8181 9191 9477 10206 11817 12726 14742 16362 18382 18954 19089 22113 23634 24543 27573 35451 38178 44226 49086 55146 57267 66339 70902 73629 82719 106353 114534 132678 147258 165438 171801 212706 248157 319059 343602 496314 515403 638118 744471 957177 1030806 1488942 1914354 2233413 4466826 6700239 13400478