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13405400 = 235297691
BaseRepresentation
bin110011001000…
…110011011000
3221020001202022
4303020303120
511412433100
61155154012
7221641541
oct63106330
927201668
1013405400
117626748
1245a5908
132a148b8
141acd4c8
15129be85
hexcc8cd8

13405400 has 48 divisors (see below), whose sum is σ = 31534440. Its totient is φ = 5299200.

The previous prime is 13405397. The next prime is 13405411. The reversal of 13405400 is 450431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19055 + ... + 19745.

Almost surely, 213405400 is an apocalyptic number.

13405400 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 13405400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15767220).

13405400 is an abundant number, since it is smaller than the sum of its proper divisors (18129040).

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

13405400 is a wasteful number, since it uses less digits than its factorization.

13405400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 13405400 is about 3661.3385530431. The cubic root of 13405400 is about 237.5526752969.

Adding to 13405400 its reverse (450431), we get a palindrome (13855831).

The spelling of 13405400 in words is "thirteen million, four hundred five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 388 485 691 776 970 1382 1940 2425 2764 3455 3880 4850 5528 6910 9700 13820 17275 19400 27640 34550 67027 69100 134054 138200 268108 335135 536216 670270 1340540 1675675 2681080 3351350 6702700 13405400