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427920 = 24351783
BaseRepresentation
bin1101000011110010000
3210201222220
41220132100
5102143140
613101040
73431403
oct1503620
9721886
10427920
11272559
12187780
1311ca0c
14b1d3a
1586bd0
hex68790

427920 has 40 divisors (see below), whose sum is σ = 1327296. Its totient is φ = 114048.

The previous prime is 427919. The next prime is 427939. The reversal of 427920 is 29724.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652 + ... + 1131.

2427920 is an apocalyptic number.

427920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427920 is an abundant number, since it is smaller than the sum of its proper divisors (899376).

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

427920 is a wasteful number, since it uses less digits than its factorization.

427920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 427920 is about 654.1559447104. The cubic root of 427920 is about 75.3565247382.

The spelling of 427920 in words is "four hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1783 3566 5349 7132 8915 10698 14264 17830 21396 26745 28528 35660 42792 53490 71320 85584 106980 142640 213960 427920