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4149840 = 243517291
BaseRepresentation
bin1111110101001001010000
321210211111210
433311021100
52030243330
6224540120
750162442
oct17651120
97724453
104149840
112384922
121481640
13b23b36
147a0492
1556e8b0
hex3f5250

4149840 has 40 divisors (see below), whose sum is σ = 12865248. Its totient is φ = 1106560.

The previous prime is 4149839. The next prime is 4149881. The reversal of 4149840 is 489414.

4149840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4149798 and 4149807.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 8406 + ... + 8885.

Almost surely, 24149840 is an apocalyptic number.

4149840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4149840 is an abundant number, since it is smaller than the sum of its proper divisors (8715408).

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

4149840 is a wasteful number, since it uses less digits than its factorization.

4149840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17307 (or 17301 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4149840 is about 2037.1156079123. The cubic root of 4149840 is about 160.6979922812.

The spelling of 4149840 in words is "four million, one hundred forty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17291 34582 51873 69164 86455 103746 138328 172910 207492 259365 276656 345820 414984 518730 691640 829968 1037460 1383280 2074920 4149840