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469840 = 2457839
BaseRepresentation
bin1110010101101010000
3212212111111
41302231100
5110013330
614023104
73664540
oct1625520
9785444
10469840
112a0aa8
121a7a94
13135b17
14c3320
159432a
hex72b50

469840 has 40 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 160896.

The previous prime is 469823. The next prime is 469841. The reversal of 469840 is 48964.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (469841) by changing a digit.

469840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141 + ... + 979.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2469840 is an apocalyptic number.

469840 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 469840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

469840 is an abundant number, since it is smaller than the sum of its proper divisors (780080).

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

469840 is a wasteful number, since it uses less digits than its factorization.

469840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 469840 is about 685.4487581140. The cubic root of 469840 is about 77.7409772996.

The spelling of 469840 in words is "four hundred sixty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 839 1678 3356 4195 5873 6712 8390 11746 13424 16780 23492 29365 33560 46984 58730 67120 93968 117460 234920 469840