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6440160 = 253513417
BaseRepresentation
bin11000100100010011100000
3110010012020110
4120210103200
53122041120
6350011320
7105511656
oct30442340
913105213
106440160
1136a9651
1221a6b40
13144645c
14bd8dd6
158732e0
hex6244e0

6440160 has 48 divisors (see below), whose sum is σ = 20288016. Its totient is φ = 1717248.

The previous prime is 6440149. The next prime is 6440171. The reversal of 6440160 is 610446.

It is an interprime number because it is at equal distance from previous prime (6440149) and next prime (6440171).

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

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, 6229 + ... + 7188.

It is an arithmetic number, because the mean of its divisors is an integer number (422667).

Almost surely, 26440160 is an apocalyptic number.

6440160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6440160 is an abundant number, since it is smaller than the sum of its proper divisors (13847856).

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

6440160 is a wasteful number, since it uses less digits than its factorization.

6440160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13435 (or 13427 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 6440160 is about 2537.7470323104. The cubic root of 6440160 is about 186.0510901393.

The spelling of 6440160 in words is "six million, four hundred forty thousand, one hundred sixty".

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 13417 26834 40251 53668 67085 80502 107336 134170 161004 201255 214672 268340 322008 402510 429344 536680 644016 805020 1073360 1288032 1610040 2146720 3220080 6440160