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13401400 = 2352371811
BaseRepresentation
bin110011000111…
…110100111000
3221012212021011
4303013310320
511412321100
61155123304
7221624065
oct63076470
927185234
1013401400
117623741
1245a3534
132a12b2c
141acbc6c
15129abba
hexcc7d38

13401400 has 48 divisors (see below), whose sum is σ = 32018040. Its totient is φ = 5212800.

The previous prime is 13401397. The next prime is 13401467. The reversal of 13401400 is 410431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6495 + ... + 8305.

Almost surely, 213401400 is an apocalyptic number.

13401400 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 13401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16009020).

13401400 is an abundant number, since it is smaller than the sum of its proper divisors (18616640).

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

13401400 is a wasteful number, since it uses less digits than its factorization.

13401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 13401400 is about 3660.7922639778. The cubic root of 13401400 is about 237.5290453858.

Adding to 13401400 its reverse (410431), we get a palindrome (13811831).

The spelling of 13401400 in words is "thirteen million, four hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1480 1811 1850 3622 3700 7244 7400 9055 14488 18110 36220 45275 67007 72440 90550 134014 181100 268028 335035 362200 536056 670070 1340140 1675175 2680280 3350350 6700700 13401400