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427665120 = 2535890969
BaseRepresentation
bin11001011111011…
…010011011100000
31002210201122020220
4121133122123200
51333440240440
6110234203040
713412044041
oct3137323340
91083648226
10427665120
111aa451153
12bb283480
136a7a98ac
1440b268c8
152782a8d0
hex197da6e0

427665120 has 48 divisors (see below), whose sum is σ = 1347146640. Its totient is φ = 114043904.

The previous prime is 427665113. The next prime is 427665131. The reversal of 427665120 is 21566724.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×4276651202 = 365794909729228800, which contains 22 as substring.

It is a congruent number.

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, 445005 + ... + 445964.

It is an arithmetic number, because the mean of its divisors is an integer number (28065555).

Almost surely, 2427665120 is an apocalyptic number.

427665120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427665120 is an abundant number, since it is smaller than the sum of its proper divisors (919481520).

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

427665120 is a wasteful number, since it uses less digits than its factorization.

427665120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890987 (or 890979 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 427665120 is about 20680.0657639186. The cubic root of 427665120 is about 753.4156034793.

It can be divided in two parts, 4276 and 65120, that added together give a palindrome (69396).

The spelling of 427665120 in words is "four hundred twenty-seven million, six hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 890969 1781938 2672907 3563876 4454845 5345814 7127752 8909690 10691628 13364535 14255504 17819380 21383256 26729070 28511008 35638760 42766512 53458140 71277520 85533024 106916280 142555040 213832560 427665120