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14008890 = 2357193511
BaseRepresentation
bin110101011100…
…001000111010
3222100201120210
4311130020322
512041241030
61220131550
7230034150
oct65341072
928321523
1014008890
1179a90a5
124836bb6
132b964ac
141c093d0
15136abb0
hexd5c23a

14008890 has 64 divisors (see below), whose sum is σ = 40458240. Its totient is φ = 3032640.

The previous prime is 14008879. The next prime is 14008933. The reversal of 14008890 is 9880041.

It is a happy number.

14008890 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

14008890 is strictly pandigital in base 8.

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, 2235 + ... + 5745.

It is an arithmetic number, because the mean of its divisors is an integer number (632160).

Almost surely, 214008890 is an apocalyptic number.

14008890 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 14008890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229120).

14008890 is an abundant number, since it is smaller than the sum of its proper divisors (26449350).

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

14008890 is a wasteful number, since it uses less digits than its factorization.

14008890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3547.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 14008890 is about 3742.8451744629. The cubic root of 14008890 is about 241.0652303011.

The spelling of 14008890 in words is "fourteen million, eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3511 3990 7022 10533 17555 21066 24577 35110 49154 52665 66709 73731 105330 122885 133418 147462 200127 245770 333545 368655 400254 466963 667090 737310 933926 1000635 1400889 2001270 2334815 2801778 4669630 7004445 14008890