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4149640 = 235119431
BaseRepresentation
bin1111110101000110001000
321210211020101
433311012020
52030242030
6224535144
750162035
oct17650610
97724211
104149640
112384760
1214814b4
13b23a11
147a038c
1556e7ca
hex3f5188

4149640 has 32 divisors (see below), whose sum is σ = 10186560. Its totient is φ = 1508800.

The previous prime is 4149623. The next prime is 4149641. The reversal of 4149640 is 469414.

4149640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4149599 and 4149608.

It is not an unprimeable number, because it can be changed into a prime (4149641) by changing a digit.

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, 4276 + ... + 5155.

It is an arithmetic number, because the mean of its divisors is an integer number (318330).

Almost surely, 24149640 is an apocalyptic number.

4149640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4149640 is an abundant number, since it is smaller than the sum of its proper divisors (6036920).

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

4149640 is a wasteful number, since it uses less digits than its factorization.

4149640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9453 (or 9449 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 4149640 is about 2037.0665183052. The cubic root of 4149640 is about 160.6954106463.

It can be divided in two parts, 4149 and 640, that multiplied together give a triangular number (2655360 = T2304).

The spelling of 4149640 in words is "four million, one hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 9431 18862 37724 47155 75448 94310 103741 188620 207482 377240 414964 518705 829928 1037410 2074820 4149640