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13430016 = 28332967
BaseRepresentation
bin110011001110…
…110100000000
3221021022112000
4303032310000
511414230031
61155504000
7222103365
oct63166400
927238460
1013430016
117643196
1245b8000
132a22b72
141ad846c
1512a43e6
hexcced00

13430016 has 144 divisors (see below), whose sum is σ = 41697600. Its totient is φ = 4257792.

The previous prime is 13430009. The next prime is 13430063. The reversal of 13430016 is 61003431.

It is a tau number, because it is divible by the number of its divisors (144).

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 15 ways as a sum of consecutive naturals, for example, 200415 + ... + 200481.

Almost surely, 213430016 is an apocalyptic number.

13430016 is a gapful number since it is divisible by the number (16) 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 13430016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848800).

13430016 is an abundant number, since it is smaller than the sum of its proper divisors (28267584).

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

13430016 is an equidigital number, since it uses as much as digits as its factorization.

13430016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13430016 is about 3664.6986233523. The cubic root of 13430016 is about 237.6979903947.

Adding to 13430016 its reverse (61003431), we get a palindrome (74433447).

The spelling of 13430016 in words is "thirteen million, four hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 67 72 87 96 108 116 128 134 144 174 192 201 216 232 256 261 268 288 348 384 402 432 464 522 536 576 603 696 768 783 804 864 928 1044 1072 1152 1206 1392 1566 1608 1728 1809 1856 1943 2088 2144 2304 2412 2784 3132 3216 3456 3618 3712 3886 4176 4288 4824 5568 5829 6264 6432 6912 7236 7424 7772 8352 8576 9648 11136 11658 12528 12864 14472 15544 16704 17152 17487 19296 22272 23316 25056 25728 28944 31088 33408 34974 38592 46632 50112 51456 52461 57888 62176 66816 69948 77184 93264 100224 104922 115776 124352 139896 154368 186528 200448 209844 231552 248704 279792 373056 419688 463104 497408 559584 746112 839376 1119168 1492224 1678752 2238336 3357504 4476672 6715008 13430016