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427380 = 223517419
BaseRepresentation
bin1101000010101110100
3210201020220
41220111310
5102134010
613054340
73430002
oct1502564
9721226
10427380
11272108
121873b0
1311c6b5
14b1a72
1586970
hex68574

427380 has 48 divisors (see below), whose sum is σ = 1270080. Its totient is φ = 107008.

The previous prime is 427379. The next prime is 427381. The reversal of 427380 is 83724.

It is an interprime number because it is at equal distance from previous prime (427379) and next prime (427381).

It is a super-4 number, since 4×4273804 (a number of 24 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 427380.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427381) 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, 811 + ... + 1229.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2427380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635040).

427380 is an abundant number, since it is smaller than the sum of its proper divisors (842700).

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

427380 is a wasteful number, since it uses less digits than its factorization.

427380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 427380 is about 653.7430687969. The cubic root of 427380 is about 75.3248134742.

The spelling of 427380 in words is "four hundred twenty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 419 510 838 1020 1257 1676 2095 2514 4190 5028 6285 7123 8380 12570 14246 21369 25140 28492 35615 42738 71230 85476 106845 142460 213690 427380