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13828269 = 3713373
BaseRepresentation
bin110100110000…
…000010101101
3222000112211010
4310300002231
512020001034
61212215433
7225352440
oct64600255
928015733
1013828269
117895424
12476a579
132b32210
141b9d657
1513323e9
hexd300ad

13828269 has 32 divisors (see below), whose sum is σ = 23322880. Its totient is φ = 7096896.

The previous prime is 13828261. The next prime is 13828271. The reversal of 13828269 is 96282831.

13828269 = T846 + T847 + ... + T882.

It is a happy number.

13828269 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13828269 - 23 = 13828261 is a prime.

It is a super-2 number, since 2×138282692 = 382442047072722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13828261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373719 + ... + 373755.

It is an arithmetic number, because the mean of its divisors is an integer number (728840).

Almost surely, 213828269 is an apocalyptic number.

It is an amenable number.

13828269 is a deficient number, since it is larger than the sum of its proper divisors (9494611).

13828269 is an frugal number, since it uses more digits than its factorization.

13828269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 60 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 13828269 is about 3718.6380571387. The cubic root of 13828269 is about 240.0247023185.

The spelling of 13828269 in words is "thirteen million, eight hundred twenty-eight thousand, two hundred sixty-nine".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1369 1443 3367 4107 9583 10101 17797 28749 50653 53391 124579 151959 354571 373737 658489 1063713 1975467 4609423 13828269