Search a number
-
+
427440 = 243513137
BaseRepresentation
bin1101000010110110000
3210201100010
41220112300
5102134230
613054520
73430116
oct1502660
9721303
10427440
11272162
12187440
1311c730
14b1ab6
15869b0
hex685b0

427440 has 80 divisors (see below), whose sum is σ = 1437408. Its totient is φ = 104448.

The previous prime is 427439. The next prime is 427447. The reversal of 427440 is 44724.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3052 + ... + 3188.

2427440 is an apocalyptic number.

427440 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 427440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718704).

427440 is an abundant number, since it is smaller than the sum of its proper divisors (1009968).

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

427440 is a wasteful number, since it uses less digits than its factorization.

427440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 427440 is about 653.7889567743. The cubic root of 427440 is about 75.3283382666.

The spelling of 427440 in words is "four hundred twenty-seven thousand, four hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 137 156 195 208 240 260 274 312 390 411 520 548 624 685 780 822 1040 1096 1370 1560 1644 1781 2055 2192 2740 3120 3288 3562 4110 5343 5480 6576 7124 8220 8905 10686 10960 14248 16440 17810 21372 26715 28496 32880 35620 42744 53430 71240 85488 106860 142480 213720 427440