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13390140 = 22352331313
BaseRepresentation
bin110011000101…
…000100111100
3221012021211010
4303011010330
511411441030
61154555220
7221546211
oct63050474
927167733
1013390140
117616235
124598b10
132a0a97a
141ac7b08
1512976b0
hexcc513c

13390140 has 96 divisors (see below), whose sum is σ = 40513536. Its totient is φ = 3294720.

The previous prime is 13390129. The next prime is 13390177. The reversal of 13390140 is 4109331.

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 31 ways as a sum of consecutive naturals, for example, 42624 + ... + 42936.

It is an arithmetic number, because the mean of its divisors is an integer number (422016).

Almost surely, 213390140 is an apocalyptic number.

13390140 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 13390140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20256768).

13390140 is an abundant number, since it is smaller than the sum of its proper divisors (27123396).

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

13390140 is a wasteful number, since it uses less digits than its factorization.

13390140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 13390140 is about 3659.2540223384. The cubic root of 13390140 is about 237.4625019284.

Adding to 13390140 its reverse (4109331), we get a palindrome (17499471).

It can be divided in two parts, 13390 and 140, that added together give a triangular number (13530 = T164).

The spelling of 13390140 in words is "thirteen million, three hundred ninety thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 313 345 372 460 465 620 626 690 713 930 939 1252 1380 1426 1565 1860 1878 2139 2852 3130 3565 3756 4278 4695 6260 7130 7199 8556 9390 9703 10695 14260 14398 18780 19406 21390 21597 28796 29109 35995 38812 42780 43194 48515 58218 71990 86388 97030 107985 116436 143980 145545 194060 215970 223169 291090 431940 446338 582180 669507 892676 1115845 1339014 2231690 2678028 3347535 4463380 6695070 13390140