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427938120 = 23335396239
BaseRepresentation
bin11001100000011…
…101000101001000
31002211020111202000
4121200131011020
51334023004440
6110244111000
713414262001
oct3140350510
91084214660
10427938120
111aa618275
12bb395460
136a873c2c
1440b981a8
1527881730
hex1981d148

427938120 has 64 divisors (see below), whose sum is σ = 1426464000. Its totient is φ = 114116544.

The previous prime is 427938113. The next prime is 427938139. The reversal of 427938120 is 21839724.

427938120 is a `hidden beast` number, since 4 + 279 + 381 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197040 + ... + 199199.

It is an arithmetic number, because the mean of its divisors is an integer number (22288500).

Almost surely, 2427938120 is an apocalyptic number.

427938120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427938120 is an abundant number, since it is smaller than the sum of its proper divisors (998525880).

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

427938120 is a wasteful number, since it uses less digits than its factorization.

427938120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396259 (or 396249 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 427938120 is about 20686.6652701686. The cubic root of 427938120 is about 753.5758836455.

The spelling of 427938120 in words is "four hundred twenty-seven million, nine hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 396239 792478 1188717 1584956 1981195 2377434 3169912 3566151 3962390 4754868 5943585 7132302 7924780 9509736 10698453 11887170 14264604 15849560 17830755 21396906 23774340 28529208 35661510 42793812 47548680 53492265 71323020 85587624 106984530 142646040 213969060 427938120