[go: up one dir, main page]

Search a number
-
+
4277040 = 243571251
BaseRepresentation
bin10000010100001100110000
322001021222220
4100110030300
52043331130
6231401040
751232335
oct20241460
98037886
104277040
112461449
121523180
13b699c1
147d498c
15597410
hex414330

4277040 has 80 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 1120000.

The previous prime is 4277029. The next prime is 4277059. The reversal of 4277040 is 407724.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4277040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16915 + ... + 17165.

Almost surely, 24277040 is an apocalyptic number.

4277040 is a gapful number since it is divisible by the number (40) 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 4277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

4277040 is an abundant number, since it is smaller than the sum of its proper divisors (9222096).

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

4277040 is a wasteful number, since it uses less digits than its factorization.

4277040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 4277040 is about 2068.1005778250. The cubic root of 4277040 is about 162.3233899784.

The spelling of 4277040 in words is "four million, two hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 251 284 355 426 502 568 710 753 852 1004 1065 1136 1255 1420 1506 1704 2008 2130 2510 2840 3012 3408 3765 4016 4260 5020 5680 6024 7530 8520 10040 12048 15060 17040 17821 20080 30120 35642 53463 60240 71284 89105 106926 142568 178210 213852 267315 285136 356420 427704 534630 712840 855408 1069260 1425680 2138520 4277040