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4144960 = 26512953
BaseRepresentation
bin1111110011111101000000
321210120211001
433303331000
52030114320
6224501344
750142301
oct17637500
97716731
104144960
112381196
12147a854
13b21851
1479c7a8
1556d20a
hex3f3f40

4144960 has 28 divisors (see below), whose sum is σ = 9870948. Its totient is φ = 1657856.

The previous prime is 4144919. The next prime is 4144961. The reversal of 4144960 is 694414.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 3268864 = 936^2 + 1808^2 .

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6157 + ... + 6796.

Almost surely, 24144960 is an apocalyptic number.

4144960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144960 is an abundant number, since it is smaller than the sum of its proper divisors (5725988).

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

4144960 is a wasteful number, since it uses less digits than its factorization.

4144960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12970 (or 12960 counting only the distinct ones).

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

The square root of 4144960 is about 2035.9174835931. The cubic root of 4144960 is about 160.6349766951.

The spelling of 4144960 in words is "four million, one hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 12953 25906 51812 64765 103624 129530 207248 259060 414496 518120 828992 1036240 2072480 4144960