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13190408 = 2373111923
BaseRepresentation
bin110010010100…
…010100001000
3220211010211122
4302110110020
511334043113
61150414412
7220055000
oct62242410
926733748
1013190408
11749a170
124501408
13296aa9a
141a75000
151258408
hexc94508

13190408 has 128 divisors (see below), whose sum is σ = 34560000. Its totient is φ = 4656960.

The previous prime is 13190381. The next prime is 13190459. The reversal of 13190408 is 80409131.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573485 + ... + 573507.

It is an arithmetic number, because the mean of its divisors is an integer number (270000).

Almost surely, 213190408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13190408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280000).

13190408 is an abundant number, since it is smaller than the sum of its proper divisors (21369592).

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

13190408 is a wasteful number, since it uses less digits than its factorization.

13190408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 13190408 is about 3631.8601294653. The cubic root of 13190408 is about 236.2758910811.

Adding to 13190408 its reverse (80409131), we get a palindrome (93599539).

The spelling of 13190408 in words is "thirteen million, one hundred ninety thousand, four hundred eight".

Divisors: 1 2 4 7 8 11 14 19 22 23 28 38 44 46 49 56 76 77 88 92 98 133 152 154 161 184 196 209 253 266 308 322 343 392 418 437 506 532 539 616 644 686 836 874 931 1012 1064 1078 1127 1288 1372 1463 1672 1748 1771 1862 2024 2156 2254 2744 2926 3059 3496 3542 3724 3773 4312 4508 4807 5852 6118 6517 7084 7448 7546 7889 9016 9614 10241 11704 12236 12397 13034 14168 15092 15778 19228 20482 21413 24472 24794 26068 30184 31556 33649 38456 40964 42826 49588 52136 63112 67298 71687 81928 85652 86779 99176 134596 143374 149891 171304 173558 235543 269192 286748 299782 347116 471086 573496 599564 694232 942172 1199128 1648801 1884344 3297602 6595204 13190408