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14162490 = 2325374253
BaseRepresentation
bin110110000001…
…101000111010
3222122112021200
4312001220322
512111144430
61223315030
7231244026
oct66015072
928575250
1014162490
117aa3541
1248aba76
132c1b394
141c49386
15139b460
hexd81a3a

14162490 has 48 divisors (see below), whose sum is σ = 37826568. Its totient is φ = 3673728.

The previous prime is 14162471. The next prime is 14162509. The reversal of 14162490 is 9426141.

14162490 is a `hidden beast` number, since 1 + 416 + 249 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14162471) and next prime (14162509).

It can be written as a sum of positive squares in 4 ways, for example, as 11309769 + 2852721 = 3363^2 + 1689^2 .

It is a super-2 number, since 2×141624902 = 401152246000200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1204 + ... + 5456.

Almost surely, 214162490 is an apocalyptic number.

14162490 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 14162490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18913284).

14162490 is an abundant number, since it is smaller than the sum of its proper divisors (23664078).

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

14162490 is a wasteful number, since it uses less digits than its factorization.

14162490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14162490 is about 3763.3083849188. The cubic root of 14162490 is about 241.9430802088.

It can be divided in two parts, 1416 and 2490, that multiplied together give a triangular number (3525840 = T2655).

The spelling of 14162490 in words is "fourteen million, one hundred sixty-two thousand, four hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 4253 8506 12759 21265 25518 38277 42530 63795 76554 127590 157361 191385 314722 382770 472083 786805 944166 1416249 1573610 2360415 2832498 4720830 7081245 14162490