[go: up one dir, main page]

Search a number
-
+
27843240 = 2335376271
BaseRepresentation
bin110101000110…
…1101010101000
31221101120202010
41222031222220
524111440430
62432435520
7455443425
oct152155250
957346663
1027843240
1114798047
1293a8ba0
1359cb3b9
1439aad4c
15269ecb0
hex1a8daa8

27843240 has 64 divisors (see below), whose sum is σ = 85800960. Its totient is φ = 7223040.

The previous prime is 27843187. The next prime is 27843253. The reversal of 27843240 is 4234872.

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

It is a junction number, because it is equal to n+sod(n) for n = 27843198 and 27843207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1305 + ... + 7575.

It is an arithmetic number, because the mean of its divisors is an integer number (1340640).

Almost surely, 227843240 is an apocalyptic number.

27843240 is a gapful number since it is divisible by the number (20) 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 27843240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42900480).

27843240 is an abundant number, since it is smaller than the sum of its proper divisors (57957720).

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

27843240 is a wasteful number, since it uses less digits than its factorization.

27843240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6322 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 27843240 is about 5276.6694040844. The cubic root of 27843240 is about 303.0911510012.

The spelling of 27843240 in words is "twenty-seven million, eight hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 6271 12542 18813 25084 31355 37626 50168 62710 75252 94065 125420 150504 188130 232027 250840 376260 464054 696081 752520 928108 1160135 1392162 1856216 2320270 2784324 3480405 4640540 5568648 6960810 9281080 13921620 27843240