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14190240 = 2535173747
BaseRepresentation
bin110110001000…
…011010100000
3222200221100110
4312020122200
512113041430
61224051320
7231420651
oct66103240
928627313
1014190240
118012379
124903b40
132c2abbc
141c55528
1513a47b0
hexd886a0

14190240 has 192 divisors, whose sum is σ = 49641984. Its totient is φ = 3391488.

The previous prime is 14190229. The next prime is 14190259. The reversal of 14190240 is 4209141.

It is a super-2 number, since 2×141902402 = 402725822515200, which contains 22 as substring.

It is a congruent number.

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, 301897 + ... + 301943.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 214190240 is an apocalyptic number.

14190240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992).

14190240 is an abundant number, since it is smaller than the sum of its proper divisors (35451744).

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

14190240 is a wasteful number, since it uses less digits than its factorization.

14190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 14190240 is about 3766.9934961452. The cubic root of 14190240 is about 242.1009982998.

Adding to 14190240 its reverse (4209141), we get a palindrome (18399381).

The spelling of 14190240 in words is "fourteen million, one hundred ninety thousand, two hundred forty".