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13451424 = 253737541
BaseRepresentation
bin110011010100…
…000010100000
3221022101212220
4303110002200
511420421144
61200151040
7222222660
oct63240240
927271786
1013451424
117658288
124608480
132a2c82c
141b021a0
1512aa919
hexcd40a0

13451424 has 96 divisors (see below), whose sum is σ = 41521536. Its totient is φ = 3732480.

The previous prime is 13451419. The next prime is 13451429. The reversal of 13451424 is 42415431.

13451424 = T184 + T185 + ... + T442.

It is an interprime number because it is at equal distance from previous prime (13451419) and next prime (13451429).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 13451394 and 13451403.

It is not an unprimeable number, because it can be changed into a prime (13451429) 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, 24594 + ... + 25134.

It is an arithmetic number, because the mean of its divisors is an integer number (432516).

Almost surely, 213451424 is an apocalyptic number.

13451424 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 13451424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20760768).

13451424 is an abundant number, since it is smaller than the sum of its proper divisors (28070112).

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

13451424 is a wasteful number, since it uses less digits than its factorization.

13451424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 13451424 is about 3667.6183007505. The cubic root of 13451424 is about 237.8242234817.

Adding to 13451424 its reverse (42415431), we get a palindrome (55866855).

The spelling of 13451424 in words is "thirteen million, four hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 259 296 336 444 518 541 592 672 777 888 1036 1082 1184 1554 1623 1776 2072 2164 3108 3246 3552 3787 4144 4328 6216 6492 7574 8288 8656 11361 12432 12984 15148 17312 20017 22722 24864 25968 30296 40034 45444 51936 60051 60592 80068 90888 120102 121184 140119 160136 181776 240204 280238 320272 363552 420357 480408 560476 640544 840714 960816 1120952 1681428 1921632 2241904 3362856 4483808 6725712 13451424