Search a number
-
+
14106904 = 23735397
BaseRepresentation
bin110101110100…
…000100011000
3222112201000221
4311310010120
512102410104
61222205424
7230623000
oct65640430
928481027
1014106904
117a657a9
124883874
132bcbca6
141c33000
151389c54
hexd74118

14106904 has 64 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 5870592.

The previous prime is 14106901. The next prime is 14106907. The reversal of 14106904 is 40960141.

It is an interprime number because it is at equal distance from previous prime (14106901) and next prime (14106907).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14106901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145384 + ... + 145480.

It is an arithmetic number, because the mean of its divisors is an integer number (496125).

Almost surely, 214106904 is an apocalyptic number.

14106904 is a gapful number since it is divisible by the number (14) 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 14106904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

14106904 is an abundant number, since it is smaller than the sum of its proper divisors (17645096).

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

14106904 is an equidigital number, since it uses as much as digits as its factorization.

14106904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 14106904 is about 3755.9158670023. The cubic root of 14106904 is about 241.6261330883.

The spelling of 14106904 in words is "fourteen million, one hundred six thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 28 49 53 56 97 98 106 194 196 212 343 371 388 392 424 679 686 742 776 1358 1372 1484 2597 2716 2744 2968 4753 5141 5194 5432 9506 10282 10388 18179 19012 20564 20776 33271 35987 36358 38024 41128 66542 71974 72716 133084 143948 145432 251909 266168 287896 503818 1007636 1763363 2015272 3526726 7053452 14106904