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14003190 = 2325192431
BaseRepresentation
bin110101011010…
…101111110110
3222100102202200
4311122233312
512041100230
61220045330
7230011425
oct65325766
928312680
1014003190
1179a4893
124833846
132b93a16
141c072bc
151369160
hexd5abf6

14003190 has 72 divisors (see below), whose sum is σ = 38514528. Its totient is φ = 3529440.

The previous prime is 14003177. The next prime is 14003203. The reversal of 14003190 is 9130041.

It is an interprime number because it is at equal distance from previous prime (14003177) and next prime (14003203).

It is a super-2 number, since 2×140031902 = 392178660352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32275 + ... + 32705.

It is an arithmetic number, because the mean of its divisors is an integer number (534924).

Almost surely, 214003190 is an apocalyptic number.

14003190 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 14003190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19257264).

14003190 is an abundant number, since it is smaller than the sum of its proper divisors (24511338).

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

14003190 is a wasteful number, since it uses less digits than its factorization.

14003190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 14003190 is about 3742.0836441747. The cubic root of 14003190 is about 241.0325306317.

The spelling of 14003190 in words is "fourteen million, three thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 431 570 722 855 862 1083 1293 1710 1805 2155 2166 2586 3249 3610 3879 4310 5415 6465 6498 7758 8189 10830 12930 16245 16378 19395 24567 32490 38790 40945 49134 73701 81890 122835 147402 155591 245670 311182 368505 466773 737010 777955 933546 1400319 1555910 2333865 2800638 4667730 7001595 14003190