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13417420 = 22517193167
BaseRepresentation
bin110011001011…
…101111001100
3221020200020111
4303023233030
511413324140
61155325404
7222021562
oct63135714
927220214
1013417420
117634785
1245b0864
132a1a203
141ad3a32
1512a07ea
hexccbbcc

13417420 has 96 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 4561920.

The previous prime is 13417399. The next prime is 13417429. The reversal of 13417420 is 2471431.

13417420 is nontrivially palindromic in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 13417391 and 13417400.

It is not an unprimeable number, because it can be changed into a prime (13417429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200227 + ... + 200293.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 213417420 is an apocalyptic number.

13417420 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 13417420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

13417420 is an abundant number, since it is smaller than the sum of its proper divisors (19483700).

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

13417420 is a wasteful number, since it uses less digits than its factorization.

13417420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 13417420 is about 3662.9796614232. The cubic root of 13417420 is about 237.6236549059.

Adding to 13417420 its reverse (2471431), we get a palindrome (15888851).

The spelling of 13417420 in words is "thirteen million, four hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 31 34 38 62 67 68 76 85 95 124 134 155 170 190 268 310 323 335 340 380 527 589 620 646 670 1054 1139 1178 1273 1292 1340 1615 2077 2108 2278 2356 2546 2635 2945 3230 4154 4556 5092 5270 5695 5890 6365 6460 8308 10013 10385 10540 11390 11780 12730 20026 20770 21641 22780 25460 35309 39463 40052 41540 43282 50065 70618 78926 86564 100130 108205 141236 157852 176545 197315 200260 216410 353090 394630 432820 670871 706180 789260 1341742 2683484 3354355 6708710 13417420