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14101890 = 23511151283
BaseRepresentation
bin110101110010…
…110110000010
3222112110011020
4311302312002
512102230030
61222130310
7230602245
oct65626602
928473136
1014101890
117a61a60
124880996
132bc991a
141c3125c
151388510
hexd72d82

14101890 has 64 divisors (see below), whose sum is σ = 37297152. Its totient is φ = 3384000.

The previous prime is 14101883. The next prime is 14101937. The reversal of 14101890 is 9810141.

14101890 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14101890.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49689 + ... + 49971.

It is an arithmetic number, because the mean of its divisors is an integer number (582768).

Almost surely, 214101890 is an apocalyptic number.

14101890 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 14101890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648576).

14101890 is an abundant number, since it is smaller than the sum of its proper divisors (23195262).

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

14101890 is a wasteful number, since it uses less digits than its factorization.

14101890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455.

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 14101890 is about 3755.2483273413. The cubic root of 14101890 is about 241.5975027336.

The spelling of 14101890 in words is "fourteen million, one hundred one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 151 165 283 302 330 453 566 755 849 906 1415 1510 1661 1698 2265 2830 3113 3322 4245 4530 4983 6226 8305 8490 9339 9966 15565 16610 18678 24915 31130 42733 46695 49830 85466 93390 128199 213665 256398 427330 470063 640995 940126 1281990 1410189 2350315 2820378 4700630 7050945 14101890