Search a number
-
+
14629890 = 23511431031
BaseRepresentation
bin110111110011…
…110000000010
31000112021102210
4313303300002
512221124030
61241322550
7235231512
oct67636002
930467383
1014629890
118292720
124a96456
133053052
141d2b842
15143ebb0
hexdf3c02

14629890 has 64 divisors (see below), whose sum is σ = 39232512. Its totient is φ = 3460800.

The previous prime is 14629873. The next prime is 14629897. The reversal of 14629890 is 9892641.

14629890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14629897) 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, 13675 + ... + 14705.

It is an arithmetic number, because the mean of its divisors is an integer number (613008).

Almost surely, 214629890 is an apocalyptic number.

14629890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14629890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19616256).

14629890 is an abundant number, since it is smaller than the sum of its proper divisors (24602622).

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

14629890 is a wasteful number, since it uses less digits than its factorization.

14629890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 14629890 is about 3824.9039203619. The cubic root of 14629890 is about 244.5759149682.

The spelling of 14629890 in words is "fourteen million, six hundred twenty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 129 165 215 258 330 430 473 645 946 1031 1290 1419 2062 2365 2838 3093 4730 5155 6186 7095 10310 11341 14190 15465 22682 30930 34023 44333 56705 68046 88666 113410 132999 170115 221665 265998 340230 443330 487663 664995 975326 1329990 1462989 2438315 2925978 4876630 7314945 14629890