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13413204 = 223271731101
BaseRepresentation
bin110011001010…
…101101010100
3221020110110100
4303022231110
511413210304
61155254100
7222003360
oct63125524
927213410
1013413204
1176315a2
1245aa330
132a1830c
141ad22a0
15129e439
hexccab54

13413204 has 144 divisors (see below), whose sum is σ = 42771456. Its totient is φ = 3456000.

The previous prime is 13413193. The next prime is 13413223. The reversal of 13413204 is 40231431.

13413204 is a `hidden beast` number, since 1 + 341 + 320 + 4 = 666.

13413204 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132754 + ... + 132854.

It is an arithmetic number, because the mean of its divisors is an integer number (297024).

Almost surely, 213413204 is an apocalyptic number.

13413204 is a gapful number since it is divisible by the number (14) 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 13413204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21385728).

13413204 is an abundant number, since it is smaller than the sum of its proper divisors (29358252).

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

13413204 is a wasteful number, since it uses less digits than its factorization.

13413204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 161 counting only the distinct ones).

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

The square root of 13413204 is about 3662.4041284380. The cubic root of 13413204 is about 237.5987637252.

Adding to 13413204 its reverse (40231431), we get a palindrome (53644635).

The spelling of 13413204 in words is "thirteen million, four hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 101 102 119 124 126 153 186 202 204 217 238 252 279 303 306 357 372 404 434 476 527 558 606 612 651 707 714 868 909 1054 1071 1116 1212 1302 1414 1428 1581 1717 1818 1953 2108 2121 2142 2604 2828 3131 3162 3434 3636 3689 3906 4242 4284 4743 5151 6262 6324 6363 6868 7378 7812 8484 9393 9486 10302 11067 12019 12524 12726 14756 15453 18786 18972 20604 21917 22134 24038 25452 28179 30906 33201 36057 37572 43834 44268 48076 53227 56358 61812 65751 66402 72114 87668 106454 108171 112716 131502 132804 144228 159681 197253 212908 216342 263004 319362 372589 394506 432684 479043 638724 745178 789012 958086 1117767 1490356 1916172 2235534 3353301 4471068 6706602 13413204