Search a number
-
+
13699400 = 23521113479
BaseRepresentation
bin110100010000…
…100101001000
3221210000001012
4310100211020
512001340100
61205343052
7224304641
oct64204510
927700035
1013699400
117807620
124707a88
132ab8670
141b686c8
151309135
hexd10948

13699400 has 96 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 4588800.

The previous prime is 13699393. The next prime is 13699403. The reversal of 13699400 is 499631.

13699400 = T168 + T169 + ... + T442.

It is not an unprimeable number, because it can be changed into a prime (13699403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28361 + ... + 28839.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 213699400 is an apocalyptic number.

13699400 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 13699400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

13699400 is an abundant number, since it is smaller than the sum of its proper divisors (23798200).

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

13699400 is a wasteful number, since it uses less digits than its factorization.

13699400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 13699400 is about 3701.2700522929. The cubic root of 13699400 is about 239.2767578780.

The spelling of 13699400 in words is "thirteen million, six hundred ninety-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 479 520 550 572 650 715 958 1100 1144 1300 1430 1916 2200 2395 2600 2860 3575 3832 4790 5269 5720 6227 7150 9580 10538 11975 12454 14300 19160 21076 23950 24908 26345 28600 31135 42152 47900 49816 52690 62270 68497 95800 105380 124540 131725 136994 155675 210760 249080 263450 273988 311350 342485 526900 547976 622700 684970 1053800 1245400 1369940 1712425 2739880 3424850 6849700 13699400